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Finding the Third Proportional to 129,961 and 279,261

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Solution

The third proportional to 129,961 and 279,261 is: 600,077.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    129,961 : 279,261 = 279,261 : x
  2. Step 2: Convert to fraction form
    129,961/279,261 = 279,261/x
  3. Step 3: Cross multiply
    129,961x = 279,261 × 279,261
  4. Step 4: Simplify right side
    129,961x = 77,986,706,121
  5. Step 5: Solve for x
    x = 77,986,706,121/129,961
  6. Step 6: Final answer
    x = 600,077.76

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.