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Finding the Third Proportional to 251.19 and 386.39

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Solution

The third proportional to 251.19 and 386.39 is: 594.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    251.19 : 386.39 = 386.39 : x
  2. Step 2: Convert to fraction form
    251.19/386.39 = 386.39/x
  3. Step 3: Cross multiply
    251.19x = 386.39 × 386.39
  4. Step 4: Simplify right side
    251.19x = 149,298.28
  5. Step 5: Solve for x
    x = 149,298.28/251.19
  6. Step 6: Final answer
    x = 594.37

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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.