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Finding the Third Proportional to 378,656 and 830,976

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Solution

The third proportional to 378,656 and 830,976 is: 1,823,610.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    378,656 : 830,976 = 830,976 : x
  2. Step 2: Convert to fraction form
    378,656/830,976 = 830,976/x
  3. Step 3: Cross multiply
    378,656x = 830,976 × 830,976
  4. Step 4: Simplify right side
    378,656x = 690,521,112,576
  5. Step 5: Solve for x
    x = 690,521,112,576/378,656
  6. Step 6: Final answer
    x = 1,823,610.65

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.