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Finding the Third Proportional to 638.76 and 937.12

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Solution

The third proportional to 638.76 and 937.12 is: 1,374.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    638.76 : 937.12 = 937.12 : x
  2. Step 2: Convert to fraction form
    638.76/937.12 = 937.12/x
  3. Step 3: Cross multiply
    638.76x = 937.12 × 937.12
  4. Step 4: Simplify right side
    638.76x = 878,186.79
  5. Step 5: Solve for x
    x = 878,186.79/638.76
  6. Step 6: Final answer
    x = 1,374.82

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.