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Finding the Third Proportional to 129,612.80 and 269,572.08

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Solution

The third proportional to 129,612.80 and 269,572.08 is: 560,663.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    129,612.80 : 269,572.08 = 269,572.08 : x
  2. Step 2: Convert to fraction form
    129,612.80/269,572.08 = 269,572.08/x
  3. Step 3: Cross multiply
    129,612.80x = 269,572.08 × 269,572.08
  4. Step 4: Simplify right side
    129,612.80x = 72,669,105,304.63
  5. Step 5: Solve for x
    x = 72,669,105,304.63/129,612.80
  6. Step 6: Final answer
    x = 560,663.04

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.