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Finding the Third Proportional to 257,850 and 386,901

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Solution

The third proportional to 257,850 and 386,901 is: 580,540.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    257,850 : 386,901 = 386,901 : x
  2. Step 2: Convert to fraction form
    257,850/386,901 = 386,901/x
  3. Step 3: Cross multiply
    257,850x = 386,901 × 386,901
  4. Step 4: Simplify right side
    257,850x = 149,692,383,801
  5. Step 5: Solve for x
    x = 149,692,383,801/257,850
  6. Step 6: Final answer
    x = 580,540.56

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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.