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Finding the Third Proportional to 129,892 and 269,988

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Solution

The third proportional to 129,892 and 269,988 is: 561,185.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    129,892 : 269,988 = 269,988 : x
  2. Step 2: Convert to fraction form
    129,892/269,988 = 269,988/x
  3. Step 3: Cross multiply
    129,892x = 269,988 × 269,988
  4. Step 4: Simplify right side
    129,892x = 72,893,520,144
  5. Step 5: Solve for x
    x = 72,893,520,144/129,892
  6. Step 6: Final answer
    x = 561,185.60

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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.