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Finding the Third Proportional to 1,729,494,713,347 and 3,719,272,433,976

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Solution

The third proportional to 1,729,494,713,347 and 3,719,272,433,976 is: 7,998,282,580,097.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,729,494,713,347 : 3,719,272,433,976 = 3,719,272,433,976 : x
  2. Step 2: Convert to fraction form
    1,729,494,713,347/3,719,272,433,976 = 3,719,272,433,976/x
  3. Step 3: Cross multiply
    1,729,494,713,347x = 3,719,272,433,976 × 3,719,272,433,976
  4. Step 4: Simplify right side
    1,729,494,713,347x = 13,832,987,438,133,760,327,942,144
  5. Step 5: Solve for x
    x = 13,832,987,438,133,760,327,942,144/1,729,494,713,347
  6. Step 6: Final answer
    x = 7,998,282,580,097.35

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.