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Finding the Third Proportional to 65.86 and 99.68

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Solution

The third proportional to 65.86 and 99.68 is: 150.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    65.86 : 99.68 = 99.68 : x
  2. Step 2: Convert to fraction form
    65.86/99.68 = 99.68/x
  3. Step 3: Cross multiply
    65.86x = 99.68 × 99.68
  4. Step 4: Simplify right side
    65.86x = 9,936.04
  5. Step 5: Solve for x
    x = 9,936.04/65.86
  6. Step 6: Final answer
    x = 150.87

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.