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Finding the Third Proportional to 129,537 and 281,213

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Solution

The third proportional to 129,537 and 281,213 is: 610,487.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    129,537 : 281,213 = 281,213 : x
  2. Step 2: Convert to fraction form
    129,537/281,213 = 281,213/x
  3. Step 3: Cross multiply
    129,537x = 281,213 × 281,213
  4. Step 4: Simplify right side
    129,537x = 79,080,751,369
  5. Step 5: Solve for x
    x = 79,080,751,369/129,537
  6. Step 6: Final answer
    x = 610,487.75

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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.