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Finding the Third Proportional to 186.05 and 278.12

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Solution

The third proportional to 186.05 and 278.12 is: 415.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    186.05 : 278.12 = 278.12 : x
  2. Step 2: Convert to fraction form
    186.05/278.12 = 278.12/x
  3. Step 3: Cross multiply
    186.05x = 278.12 × 278.12
  4. Step 4: Simplify right side
    186.05x = 77,351.34
  5. Step 5: Solve for x
    x = 77,351.34/186.05
  6. Step 6: Final answer
    x = 415.76

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.