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Finding the Third Proportional to 627.50 and 688.25

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Solution

The third proportional to 627.50 and 688.25 is: 754.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    627.50 : 688.25 = 688.25 : x
  2. Step 2: Convert to fraction form
    627.50/688.25 = 688.25/x
  3. Step 3: Cross multiply
    627.50x = 688.25 × 688.25
  4. Step 4: Simplify right side
    627.50x = 473,688.06
  5. Step 5: Solve for x
    x = 473,688.06/627.50
  6. Step 6: Final answer
    x = 754.88

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Why These Related Problems?

These problems maintain the same ratio (1.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.