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Finding the Third Proportional to 258.09 and 387.47

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Solution

The third proportional to 258.09 and 387.47 is: 581.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    258.09 : 387.47 = 387.47 : x
  2. Step 2: Convert to fraction form
    258.09/387.47 = 387.47/x
  3. Step 3: Cross multiply
    258.09x = 387.47 × 387.47
  4. Step 4: Simplify right side
    258.09x = 150,132.03
  5. Step 5: Solve for x
    x = 150,132.03/258.09
  6. Step 6: Final answer
    x = 581.70

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.