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Finding the Third Proportional to 75.42 and 116.74

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Solution

The third proportional to 75.42 and 116.74 is: 180.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    75.42 : 116.74 = 116.74 : x
  2. Step 2: Convert to fraction form
    75.42/116.74 = 116.74/x
  3. Step 3: Cross multiply
    75.42x = 116.74 × 116.74
  4. Step 4: Simplify right side
    75.42x = 13,628.74
  5. Step 5: Solve for x
    x = 13,628.74/75.42
  6. Step 6: Final answer
    x = 180.70

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.