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Finding the Third Proportional to 39.62 and 86.20

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Solution

The third proportional to 39.62 and 86.20 is: 187.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    39.62 : 86.20 = 86.20 : x
  2. Step 2: Convert to fraction form
    39.62/86.20 = 86.20/x
  3. Step 3: Cross multiply
    39.62x = 86.20 × 86.20
  4. Step 4: Simplify right side
    39.62x = 7,430.19
  5. Step 5: Solve for x
    x = 7,430.19/39.62
  6. Step 6: Final answer
    x = 187.52

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.