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Finding the Third Proportional to 521,864,979.75 and 729,987,099.75

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Solution

The third proportional to 521,864,979.75 and 729,987,099.75 is: 1,021,109,264.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    521,864,979.75 : 729,987,099.75 = 729,987,099.75 : x
  2. Step 2: Convert to fraction form
    521,864,979.75/729,987,099.75 = 729,987,099.75/x
  3. Step 3: Cross multiply
    521,864,979.75x = 729,987,099.75 × 729,987,099.75
  4. Step 4: Simplify right side
    521,864,979.75x = 532,881,165,801,416,448
  5. Step 5: Solve for x
    x = 532,881,165,801,416,448/521,864,979.75
  6. Step 6: Final answer
    x = 1,021,109,264.81

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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.