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Finding the Third Proportional to 129,384 and 281,548

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Solution

The third proportional to 129,384 and 281,548 is: 612,666.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    129,384 : 281,548 = 281,548 : x
  2. Step 2: Convert to fraction form
    129,384/281,548 = 281,548/x
  3. Step 3: Cross multiply
    129,384x = 281,548 × 281,548
  4. Step 4: Simplify right side
    129,384x = 79,269,276,304
  5. Step 5: Solve for x
    x = 79,269,276,304/129,384
  6. Step 6: Final answer
    x = 612,666.76

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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.