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Finding the Third Proportional to 257,290 and 395,920

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Solution

The third proportional to 257,290 and 395,920 is: 609,245.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    257,290 : 395,920 = 395,920 : x
  2. Step 2: Convert to fraction form
    257,290/395,920 = 395,920/x
  3. Step 3: Cross multiply
    257,290x = 395,920 × 395,920
  4. Step 4: Simplify right side
    257,290x = 156,752,646,400
  5. Step 5: Solve for x
    x = 156,752,646,400/257,290
  6. Step 6: Final answer
    x = 609,245.00

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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.