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Finding the Third Proportional to 161,780 and 248,304

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Solution

The third proportional to 161,780 and 248,304 is: 381,103.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    161,780 : 248,304 = 248,304 : x
  2. Step 2: Convert to fraction form
    161,780/248,304 = 248,304/x
  3. Step 3: Cross multiply
    161,780x = 248,304 × 248,304
  4. Step 4: Simplify right side
    161,780x = 61,654,876,416
  5. Step 5: Solve for x
    x = 61,654,876,416/161,780
  6. Step 6: Final answer
    x = 381,103.20

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.