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Finding the Third Proportional to 184.75 and 278.49

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Solution

The third proportional to 184.75 and 278.49 is: 419.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    184.75 : 278.49 = 278.49 : x
  2. Step 2: Convert to fraction form
    184.75/278.49 = 278.49/x
  3. Step 3: Cross multiply
    184.75x = 278.49 × 278.49
  4. Step 4: Simplify right side
    184.75x = 77,556.81
  5. Step 5: Solve for x
    x = 77,556.81/184.75
  6. Step 6: Final answer
    x = 419.78

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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.