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Finding the Third Proportional to 65.73 and 87.80

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Solution

The third proportional to 65.73 and 87.80 is: 117.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    65.73 : 87.80 = 87.80 : x
  2. Step 2: Convert to fraction form
    65.73/87.80 = 87.80/x
  3. Step 3: Cross multiply
    65.73x = 87.80 × 87.80
  4. Step 4: Simplify right side
    65.73x = 7,709.32
  5. Step 5: Solve for x
    x = 7,709.32/65.73
  6. Step 6: Final answer
    x = 117.28

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Why These Related Problems?

These problems maintain the same ratio (1.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.