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Finding the Third Proportional to 91.23 and 130.76

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Solution

The third proportional to 91.23 and 130.76 is: 187.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    91.23 : 130.76 = 130.76 : x
  2. Step 2: Convert to fraction form
    91.23/130.76 = 130.76/x
  3. Step 3: Cross multiply
    91.23x = 130.76 × 130.76
  4. Step 4: Simplify right side
    91.23x = 17,098.17
  5. Step 5: Solve for x
    x = 17,098.17/91.23
  6. Step 6: Final answer
    x = 187.42

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.