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Finding the Third Proportional to 129,072 and 281,472

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Solution

The third proportional to 129,072 and 281,472 is: 613,816.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    129,072 : 281,472 = 281,472 : x
  2. Step 2: Convert to fraction form
    129,072/281,472 = 281,472/x
  3. Step 3: Cross multiply
    129,072x = 281,472 × 281,472
  4. Step 4: Simplify right side
    129,072x = 79,226,486,784
  5. Step 5: Solve for x
    x = 79,226,486,784/129,072
  6. Step 6: Final answer
    x = 613,816.22

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.