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Finding the Third Proportional to 71.35 and 106.06

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Solution

The third proportional to 71.35 and 106.06 is: 157.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    71.35 : 106.06 = 106.06 : x
  2. Step 2: Convert to fraction form
    71.35/106.06 = 106.06/x
  3. Step 3: Cross multiply
    71.35x = 106.06 × 106.06
  4. Step 4: Simplify right side
    71.35x = 11,248.69
  5. Step 5: Solve for x
    x = 11,248.69/71.35
  6. Step 6: Final answer
    x = 157.66

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.