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Finding the Third Proportional to 39.75 and 62.06

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Solution

The third proportional to 39.75 and 62.06 is: 96.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    39.75 : 62.06 = 62.06 : x
  2. Step 2: Convert to fraction form
    39.75/62.06 = 62.06/x
  3. Step 3: Cross multiply
    39.75x = 62.06 × 62.06
  4. Step 4: Simplify right side
    39.75x = 3,851.75
  5. Step 5: Solve for x
    x = 3,851.75/39.75
  6. Step 6: Final answer
    x = 96.90

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.