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Finding the Third Proportional to 81,057.59 and 119,487.66

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Solution

The third proportional to 81,057.59 and 119,487.66 is: 176,137.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    81,057.59 : 119,487.66 = 119,487.66 : x
  2. Step 2: Convert to fraction form
    81,057.59/119,487.66 = 119,487.66/x
  3. Step 3: Cross multiply
    81,057.59x = 119,487.66 × 119,487.66
  4. Step 4: Simplify right side
    81,057.59x = 14,277,299,996.12
  5. Step 5: Solve for x
    x = 14,277,299,996.12/81,057.59
  6. Step 6: Final answer
    x = 176,137.74

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.