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Finding the Third Proportional to 75.76 and 101.58

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Solution

The third proportional to 75.76 and 101.58 is: 136.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    75.76 : 101.58 = 101.58 : x
  2. Step 2: Convert to fraction form
    75.76/101.58 = 101.58/x
  3. Step 3: Cross multiply
    75.76x = 101.58 × 101.58
  4. Step 4: Simplify right side
    75.76x = 10,319.31
  5. Step 5: Solve for x
    x = 10,319.31/75.76
  6. Step 6: Final answer
    x = 136.21

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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.