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Finding the Third Proportional to 640,917 and 992,081

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Solution

The third proportional to 640,917 and 992,081 is: 1,535,650.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    640,917 : 992,081 = 992,081 : x
  2. Step 2: Convert to fraction form
    640,917/992,081 = 992,081/x
  3. Step 3: Cross multiply
    640,917x = 992,081 × 992,081
  4. Step 4: Simplify right side
    640,917x = 984,224,710,561
  5. Step 5: Solve for x
    x = 984,224,710,561/640,917
  6. Step 6: Final answer
    x = 1,535,650.81

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.