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Finding the Third Proportional to 78,580.13 and 169,617.38

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Solution

The third proportional to 78,580.13 and 169,617.38 is: 366,123.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,580.13 : 169,617.38 = 169,617.38 : x
  2. Step 2: Convert to fraction form
    78,580.13/169,617.38 = 169,617.38/x
  3. Step 3: Cross multiply
    78,580.13x = 169,617.38 × 169,617.38
  4. Step 4: Simplify right side
    78,580.13x = 28,770,053,901.89
  5. Step 5: Solve for x
    x = 28,770,053,901.89/78,580.13
  6. Step 6: Final answer
    x = 366,123.80

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.