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Finding the Third Proportional to 129.53 and 228.78

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Solution

The third proportional to 129.53 and 228.78 is: 404.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    129.53 : 228.78 = 228.78 : x
  2. Step 2: Convert to fraction form
    129.53/228.78 = 228.78/x
  3. Step 3: Cross multiply
    129.53x = 228.78 × 228.78
  4. Step 4: Simplify right side
    129.53x = 52,340.86
  5. Step 5: Solve for x
    x = 52,340.86/129.53
  6. Step 6: Final answer
    x = 404.08

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Why These Related Problems?

These problems maintain the same ratio (1.77) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.