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Finding the Third Proportional to 65.95 and 71.02

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Solution

The third proportional to 65.95 and 71.02 is: 76.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    65.95 : 71.02 = 71.02 : x
  2. Step 2: Convert to fraction form
    65.95/71.02 = 71.02/x
  3. Step 3: Cross multiply
    65.95x = 71.02 × 71.02
  4. Step 4: Simplify right side
    65.95x = 5,044.29
  5. Step 5: Solve for x
    x = 5,044.29/65.95
  6. Step 6: Final answer
    x = 76.49

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Why These Related Problems?

These problems maintain the same ratio (1.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.