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Finding the Third Proportional to 130.92 and 141.05

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Solution

The third proportional to 130.92 and 141.05 is: 151.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    130.92 : 141.05 = 141.05 : x
  2. Step 2: Convert to fraction form
    130.92/141.05 = 141.05/x
  3. Step 3: Cross multiply
    130.92x = 141.05 × 141.05
  4. Step 4: Simplify right side
    130.92x = 19,894.22
  5. Step 5: Solve for x
    x = 19,894.22/130.92
  6. Step 6: Final answer
    x = 151.95

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Why These Related Problems?

These problems maintain the same ratio (1.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.