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Finding the Third Proportional to 129,304.13 and 200,682.56

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Solution

The third proportional to 129,304.13 and 200,682.56 is: 311,463.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    129,304.13 : 200,682.56 = 200,682.56 : x
  2. Step 2: Convert to fraction form
    129,304.13/200,682.56 = 200,682.56/x
  3. Step 3: Cross multiply
    129,304.13x = 200,682.56 × 200,682.56
  4. Step 4: Simplify right side
    129,304.13x = 40,273,490,891.57
  5. Step 5: Solve for x
    x = 40,273,490,891.57/129,304.13
  6. Step 6: Final answer
    x = 311,463.31

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.