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Finding the Third Proportional to 119,960 and 258,374

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Solution

The third proportional to 119,960 and 258,374 is: 556,494.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    119,960 : 258,374 = 258,374 : x
  2. Step 2: Convert to fraction form
    119,960/258,374 = 258,374/x
  3. Step 3: Cross multiply
    119,960x = 258,374 × 258,374
  4. Step 4: Simplify right side
    119,960x = 66,757,123,876
  5. Step 5: Solve for x
    x = 66,757,123,876/119,960
  6. Step 6: Final answer
    x = 556,494.86

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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.