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Finding the Third Proportional to 184,778 and 278,831

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Solution

The third proportional to 184,778 and 278,831 is: 420,757.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    184,778 : 278,831 = 278,831 : x
  2. Step 2: Convert to fraction form
    184,778/278,831 = 278,831/x
  3. Step 3: Cross multiply
    184,778x = 278,831 × 278,831
  4. Step 4: Simplify right side
    184,778x = 77,746,726,561
  5. Step 5: Solve for x
    x = 77,746,726,561/184,778
  6. Step 6: Final answer
    x = 420,757.48

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.