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Finding the Third Proportional to 75.15 and 101.07

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Solution

The third proportional to 75.15 and 101.07 is: 135.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    75.15 : 101.07 = 101.07 : x
  2. Step 2: Convert to fraction form
    75.15/101.07 = 101.07/x
  3. Step 3: Cross multiply
    75.15x = 101.07 × 101.07
  4. Step 4: Simplify right side
    75.15x = 10,214.22
  5. Step 5: Solve for x
    x = 10,214.22/75.15
  6. Step 6: Final answer
    x = 135.92

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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.