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Finding the Third Proportional to 80,767.13 and 115,612.31

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Solution

The third proportional to 80,767.13 and 115,612.31 is: 165,490.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    80,767.13 : 115,612.31 = 115,612.31 : x
  2. Step 2: Convert to fraction form
    80,767.13/115,612.31 = 115,612.31/x
  3. Step 3: Cross multiply
    80,767.13x = 115,612.31 × 115,612.31
  4. Step 4: Simplify right side
    80,767.13x = 13,366,206,801.60
  5. Step 5: Solve for x
    x = 13,366,206,801.60/80,767.13
  6. Step 6: Final answer
    x = 165,490.68

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.