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Finding the Third Proportional to 39.68 and 58.45

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Solution

The third proportional to 39.68 and 58.45 is: 86.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    39.68 : 58.45 = 58.45 : x
  2. Step 2: Convert to fraction form
    39.68/58.45 = 58.45/x
  3. Step 3: Cross multiply
    39.68x = 58.45 × 58.45
  4. Step 4: Simplify right side
    39.68x = 3,416.77
  5. Step 5: Solve for x
    x = 3,416.77/39.68
  6. Step 6: Final answer
    x = 86.11

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.