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Finding the Third Proportional to 179.30 and 278.23

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Solution

The third proportional to 179.30 and 278.23 is: 431.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    179.30 : 278.23 = 278.23 : x
  2. Step 2: Convert to fraction form
    179.30/278.23 = 278.23/x
  3. Step 3: Cross multiply
    179.30x = 278.23 × 278.23
  4. Step 4: Simplify right side
    179.30x = 77,410.02
  5. Step 5: Solve for x
    x = 77,410.02/179.30
  6. Step 6: Final answer
    x = 431.74

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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.