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Finding the Third Proportional to 251.28 and 384.13

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Solution

The third proportional to 251.28 and 384.13 is: 587.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    251.28 : 384.13 = 384.13 : x
  2. Step 2: Convert to fraction form
    251.28/384.13 = 384.13/x
  3. Step 3: Cross multiply
    251.28x = 384.13 × 384.13
  4. Step 4: Simplify right side
    251.28x = 147,552.02
  5. Step 5: Solve for x
    x = 147,552.02/251.28
  6. Step 6: Final answer
    x = 587.20

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.