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Finding the Third Proportional to 138,267 and 219,853

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Solution

The third proportional to 138,267 and 219,853 is: 349,579.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    138,267 : 219,853 = 219,853 : x
  2. Step 2: Convert to fraction form
    138,267/219,853 = 219,853/x
  3. Step 3: Cross multiply
    138,267x = 219,853 × 219,853
  4. Step 4: Simplify right side
    138,267x = 48,335,341,609
  5. Step 5: Solve for x
    x = 48,335,341,609/138,267
  6. Step 6: Final answer
    x = 349,579.74

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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.