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Finding the Third Proportional to 142,778 and 338,249

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Solution

The third proportional to 142,778 and 338,249 is: 801,330.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    142,778 : 338,249 = 338,249 : x
  2. Step 2: Convert to fraction form
    142,778/338,249 = 338,249/x
  3. Step 3: Cross multiply
    142,778x = 338,249 × 338,249
  4. Step 4: Simplify right side
    142,778x = 114,412,386,001
  5. Step 5: Solve for x
    x = 114,412,386,001/142,778
  6. Step 6: Final answer
    x = 801,330.64

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Why These Related Problems?

These problems maintain the same ratio (2.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.