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Finding the Third Proportional to 248.70 and 387.18

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Solution

The third proportional to 248.70 and 387.18 is: 602.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    248.70 : 387.18 = 387.18 : x
  2. Step 2: Convert to fraction form
    248.70/387.18 = 387.18/x
  3. Step 3: Cross multiply
    248.70x = 387.18 × 387.18
  4. Step 4: Simplify right side
    248.70x = 149,905.09
  5. Step 5: Solve for x
    x = 149,905.09/248.70
  6. Step 6: Final answer
    x = 602.77

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.