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Finding the Third Proportional to 728,397 and 1,142,641

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Solution

The third proportional to 728,397 and 1,142,641 is: 1,792,468.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    728,397 : 1,142,641 = 1,142,641 : x
  2. Step 2: Convert to fraction form
    728,397/1,142,641 = 1,142,641/x
  3. Step 3: Cross multiply
    728,397x = 1,142,641 × 1,142,641
  4. Step 4: Simplify right side
    728,397x = 1,305,628,454,881
  5. Step 5: Solve for x
    x = 1,305,628,454,881/728,397
  6. Step 6: Final answer
    x = 1,792,468.19

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.