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Finding the Third Proportional to 75.47 and 100.97

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Solution

The third proportional to 75.47 and 100.97 is: 135.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    75.47 : 100.97 = 100.97 : x
  2. Step 2: Convert to fraction form
    75.47/100.97 = 100.97/x
  3. Step 3: Cross multiply
    75.47x = 100.97 × 100.97
  4. Step 4: Simplify right side
    75.47x = 10,194.69
  5. Step 5: Solve for x
    x = 10,194.69/75.47
  6. Step 6: Final answer
    x = 135.08

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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.