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Finding the Third Proportional to 129,617 and 269,580

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Solution

The third proportional to 129,617 and 269,580 is: 560,677.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    129,617 : 269,580 = 269,580 : x
  2. Step 2: Convert to fraction form
    129,617/269,580 = 269,580/x
  3. Step 3: Cross multiply
    129,617x = 269,580 × 269,580
  4. Step 4: Simplify right side
    129,617x = 72,673,376,400
  5. Step 5: Solve for x
    x = 72,673,376,400/129,617
  6. Step 6: Final answer
    x = 560,677.82

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.