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Finding the Third Proportional to 642.56 and 772.13

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Solution

The third proportional to 642.56 and 772.13 is: 927.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    642.56 : 772.13 = 772.13 : x
  2. Step 2: Convert to fraction form
    642.56/772.13 = 772.13/x
  3. Step 3: Cross multiply
    642.56x = 772.13 × 772.13
  4. Step 4: Simplify right side
    642.56x = 596,177.02
  5. Step 5: Solve for x
    x = 596,177.02/642.56
  6. Step 6: Final answer
    x = 927.81

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Why These Related Problems?

These problems maintain the same ratio (1.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.