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Finding the Third Proportional to 688.75 and 801.25

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Solution

The third proportional to 688.75 and 801.25 is: 932.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    688.75 : 801.25 = 801.25 : x
  2. Step 2: Convert to fraction form
    688.75/801.25 = 801.25/x
  3. Step 3: Cross multiply
    688.75x = 801.25 × 801.25
  4. Step 4: Simplify right side
    688.75x = 642,001.56
  5. Step 5: Solve for x
    x = 642,001.56/688.75
  6. Step 6: Final answer
    x = 932.13

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Why These Related Problems?

These problems maintain the same ratio (1.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.