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Finding the Third Proportional to 77,661.38 and 169,861.88

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Solution

The third proportional to 77,661.38 and 169,861.88 is: 371,523.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,661.38 : 169,861.88 = 169,861.88 : x
  2. Step 2: Convert to fraction form
    77,661.38/169,861.88 = 169,861.88/x
  3. Step 3: Cross multiply
    77,661.38x = 169,861.88 × 169,861.88
  4. Step 4: Simplify right side
    77,661.38x = 28,853,056,578.52
  5. Step 5: Solve for x
    x = 28,853,056,578.52/77,661.38
  6. Step 6: Final answer
    x = 371,523.90

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.