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Finding the Third Proportional to 742.92 and 847.55

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Solution

The third proportional to 742.92 and 847.55 is: 966.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    742.92 : 847.55 = 847.55 : x
  2. Step 2: Convert to fraction form
    742.92/847.55 = 847.55/x
  3. Step 3: Cross multiply
    742.92x = 847.55 × 847.55
  4. Step 4: Simplify right side
    742.92x = 718,335.71
  5. Step 5: Solve for x
    x = 718,335.71/742.92
  6. Step 6: Final answer
    x = 966.91

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Why These Related Problems?

These problems maintain the same ratio (1.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.