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Finding the Third Proportional to 179.72 and 278.16

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Solution

The third proportional to 179.72 and 278.16 is: 430.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    179.72 : 278.16 = 278.16 : x
  2. Step 2: Convert to fraction form
    179.72/278.16 = 278.16/x
  3. Step 3: Cross multiply
    179.72x = 278.16 × 278.16
  4. Step 4: Simplify right side
    179.72x = 77,370.90
  5. Step 5: Solve for x
    x = 77,370.90/179.72
  6. Step 6: Final answer
    x = 430.51

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.