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Finding the Third Proportional to 138,318 and 219,987

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Solution

The third proportional to 138,318 and 219,987 is: 349,876.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    138,318 : 219,987 = 219,987 : x
  2. Step 2: Convert to fraction form
    138,318/219,987 = 219,987/x
  3. Step 3: Cross multiply
    138,318x = 219,987 × 219,987
  4. Step 4: Simplify right side
    138,318x = 48,394,280,169
  5. Step 5: Solve for x
    x = 48,394,280,169/138,318
  6. Step 6: Final answer
    x = 349,876.95

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.