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Finding the Third Proportional to 847.97 and 1,117.55

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Solution

The third proportional to 847.97 and 1,117.55 is: 1,472.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    847.97 : 1,117.55 = 1,117.55 : x
  2. Step 2: Convert to fraction form
    847.97/1,117.55 = 1,117.55/x
  3. Step 3: Cross multiply
    847.97x = 1,117.55 × 1,117.55
  4. Step 4: Simplify right side
    847.97x = 1,248,911.02
  5. Step 5: Solve for x
    x = 1,248,911.02/847.97
  6. Step 6: Final answer
    x = 1,472.83

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Why These Related Problems?

These problems maintain the same ratio (1.32) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.