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Finding the Third Proportional to 91,769 and 129,234.25

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Solution

The third proportional to 91,769 and 129,234.25 is: 181,994.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    91,769 : 129,234.25 = 129,234.25 : x
  2. Step 2: Convert to fraction form
    91,769/129,234.25 = 129,234.25/x
  3. Step 3: Cross multiply
    91,769x = 129,234.25 × 129,234.25
  4. Step 4: Simplify right side
    91,769x = 16,701,491,373.06
  5. Step 5: Solve for x
    x = 16,701,491,373.06/91,769
  6. Step 6: Final answer
    x = 181,994.92

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.