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Finding the Third Proportional to 728,374 and 1,142,603

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Solution

The third proportional to 728,374 and 1,142,603 is: 1,792,405.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    728,374 : 1,142,603 = 1,142,603 : x
  2. Step 2: Convert to fraction form
    728,374/1,142,603 = 1,142,603/x
  3. Step 3: Cross multiply
    728,374x = 1,142,603 × 1,142,603
  4. Step 4: Simplify right side
    728,374x = 1,305,541,615,609
  5. Step 5: Solve for x
    x = 1,305,541,615,609/728,374
  6. Step 6: Final answer
    x = 1,792,405.57

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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.