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Finding the Third Proportional to 178,367 and 261,637

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Solution

The third proportional to 178,367 and 261,637 is: 383,781.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    178,367 : 261,637 = 261,637 : x
  2. Step 2: Convert to fraction form
    178,367/261,637 = 261,637/x
  3. Step 3: Cross multiply
    178,367x = 261,637 × 261,637
  4. Step 4: Simplify right side
    178,367x = 68,453,919,769
  5. Step 5: Solve for x
    x = 68,453,919,769/178,367
  6. Step 6: Final answer
    x = 383,781.30

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.