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Finding the Third Proportional to 637.92 and 985.71

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Solution

The third proportional to 637.92 and 985.71 is: 1,523.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    637.92 : 985.71 = 985.71 : x
  2. Step 2: Convert to fraction form
    637.92/985.71 = 985.71/x
  3. Step 3: Cross multiply
    637.92x = 985.71 × 985.71
  4. Step 4: Simplify right side
    637.92x = 971,627.68
  5. Step 5: Solve for x
    x = 971,627.68/637.92
  6. Step 6: Final answer
    x = 1,523.12

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.