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Finding the Third Proportional to 90,456.75 and 129,853.13

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Solution

The third proportional to 90,456.75 and 129,853.13 is: 186,407.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    90,456.75 : 129,853.13 = 129,853.13 : x
  2. Step 2: Convert to fraction form
    90,456.75/129,853.13 = 129,853.13/x
  3. Step 3: Cross multiply
    90,456.75x = 129,853.13 × 129,853.13
  4. Step 4: Simplify right side
    90,456.75x = 16,861,834,072.27
  5. Step 5: Solve for x
    x = 16,861,834,072.27/90,456.75
  6. Step 6: Final answer
    x = 186,407.69

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Why These Related Problems?

These problems maintain the same ratio (1.44) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.