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Finding the Third Proportional to 87.47 and 206.16

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Solution

The third proportional to 87.47 and 206.16 is: 485.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    87.47 : 206.16 = 206.16 : x
  2. Step 2: Convert to fraction form
    87.47/206.16 = 206.16/x
  3. Step 3: Cross multiply
    87.47x = 206.16 × 206.16
  4. Step 4: Simplify right side
    87.47x = 42,500.40
  5. Step 5: Solve for x
    x = 42,500.40/87.47
  6. Step 6: Final answer
    x = 485.89

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Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.