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Finding the Third Proportional to 65.80 and 99.53

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Solution

The third proportional to 65.80 and 99.53 is: 150.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    65.80 : 99.53 = 99.53 : x
  2. Step 2: Convert to fraction form
    65.80/99.53 = 99.53/x
  3. Step 3: Cross multiply
    65.80x = 99.53 × 99.53
  4. Step 4: Simplify right side
    65.80x = 9,905.69
  5. Step 5: Solve for x
    x = 9,905.69/65.80
  6. Step 6: Final answer
    x = 150.54

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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.