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Finding the Third Proportional to 251.96 and 389.18

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Solution

The third proportional to 251.96 and 389.18 is: 601.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    251.96 : 389.18 = 389.18 : x
  2. Step 2: Convert to fraction form
    251.96/389.18 = 389.18/x
  3. Step 3: Cross multiply
    251.96x = 389.18 × 389.18
  4. Step 4: Simplify right side
    251.96x = 151,460.83
  5. Step 5: Solve for x
    x = 151,460.83/251.96
  6. Step 6: Final answer
    x = 601.12

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.