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Finding the Third Proportional to 129,796 and 281,624

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Solution

The third proportional to 129,796 and 281,624 is: 611,051.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    129,796 : 281,624 = 281,624 : x
  2. Step 2: Convert to fraction form
    129,796/281,624 = 281,624/x
  3. Step 3: Cross multiply
    129,796x = 281,624 × 281,624
  4. Step 4: Simplify right side
    129,796x = 79,312,077,376
  5. Step 5: Solve for x
    x = 79,312,077,376/129,796
  6. Step 6: Final answer
    x = 611,051.78

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.