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Finding the Third Proportional to 161,778 and 248,301

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Solution

The third proportional to 161,778 and 248,301 is: 381,098.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    161,778 : 248,301 = 248,301 : x
  2. Step 2: Convert to fraction form
    161,778/248,301 = 248,301/x
  3. Step 3: Cross multiply
    161,778x = 248,301 × 248,301
  4. Step 4: Simplify right side
    161,778x = 61,653,386,601
  5. Step 5: Solve for x
    x = 61,653,386,601/161,778
  6. Step 6: Final answer
    x = 381,098.71

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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.