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Finding the Third Proportional to 72.38 and 98.88

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Solution

The third proportional to 72.38 and 98.88 is: 135.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    72.38 : 98.88 = 98.88 : x
  2. Step 2: Convert to fraction form
    72.38/98.88 = 98.88/x
  3. Step 3: Cross multiply
    72.38x = 98.88 × 98.88
  4. Step 4: Simplify right side
    72.38x = 9,776.27
  5. Step 5: Solve for x
    x = 9,776.27/72.38
  6. Step 6: Final answer
    x = 135.08

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.