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Finding the Third Proportional to 521,864,970.75 and 729,987,086.25

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Solution

The third proportional to 521,864,970.75 and 729,987,086.25 is: 1,021,109,244.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    521,864,970.75 : 729,987,086.25 = 729,987,086.25 : x
  2. Step 2: Convert to fraction form
    521,864,970.75/729,987,086.25 = 729,987,086.25/x
  3. Step 3: Cross multiply
    521,864,970.75x = 729,987,086.25 × 729,987,086.25
  4. Step 4: Simplify right side
    521,864,970.75x = 532,881,146,091,764,928
  5. Step 5: Solve for x
    x = 532,881,146,091,764,928/521,864,970.75
  6. Step 6: Final answer
    x = 1,021,109,244.65

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.