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Finding the Third Proportional to 141,691 and 219,353

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Solution

The third proportional to 141,691 and 219,353 is: 339,582.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    141,691 : 219,353 = 219,353 : x
  2. Step 2: Convert to fraction form
    141,691/219,353 = 219,353/x
  3. Step 3: Cross multiply
    141,691x = 219,353 × 219,353
  4. Step 4: Simplify right side
    141,691x = 48,115,738,609
  5. Step 5: Solve for x
    x = 48,115,738,609/141,691
  6. Step 6: Final answer
    x = 339,582.18

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.