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Finding the Third Proportional to 90,126 and 130,542

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Solution

The third proportional to 90,126 and 130,542 is: 189,082.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    90,126 : 130,542 = 130,542 : x
  2. Step 2: Convert to fraction form
    90,126/130,542 = 130,542/x
  3. Step 3: Cross multiply
    90,126x = 130,542 × 130,542
  4. Step 4: Simplify right side
    90,126x = 17,041,213,764
  5. Step 5: Solve for x
    x = 17,041,213,764/90,126
  6. Step 6: Final answer
    x = 189,082.10

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Why These Related Problems?

These problems maintain the same ratio (1.45) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.