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Finding the Third Proportional to 129,769 and 281,570

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Solution

The third proportional to 129,769 and 281,570 is: 610,944.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    129,769 : 281,570 = 281,570 : x
  2. Step 2: Convert to fraction form
    129,769/281,570 = 281,570/x
  3. Step 3: Cross multiply
    129,769x = 281,570 × 281,570
  4. Step 4: Simplify right side
    129,769x = 79,281,664,900
  5. Step 5: Solve for x
    x = 79,281,664,900/129,769
  6. Step 6: Final answer
    x = 610,944.56

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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.