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Finding the Third Proportional to 80,781 and 169,828.13

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Solution

The third proportional to 80,781 and 169,828.13 is: 357,034.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    80,781 : 169,828.13 = 169,828.13 : x
  2. Step 2: Convert to fraction form
    80,781/169,828.13 = 169,828.13/x
  3. Step 3: Cross multiply
    80,781x = 169,828.13 × 169,828.13
  4. Step 4: Simplify right side
    80,781x = 28,841,592,041.02
  5. Step 5: Solve for x
    x = 28,841,592,041.02/80,781
  6. Step 6: Final answer
    x = 357,034.35

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Why These Related Problems?

These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.