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Finding the Third Proportional to 724.78 and 801.28

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Solution

The third proportional to 724.78 and 801.28 is: 885.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    724.78 : 801.28 = 801.28 : x
  2. Step 2: Convert to fraction form
    724.78/801.28 = 801.28/x
  3. Step 3: Cross multiply
    724.78x = 801.28 × 801.28
  4. Step 4: Simplify right side
    724.78x = 642,051.64
  5. Step 5: Solve for x
    x = 642,051.64/724.78
  6. Step 6: Final answer
    x = 885.86

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Why These Related Problems?

These problems maintain the same ratio (1.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.