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Finding the Third Proportional to 257,084 and 395,400

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Solution

The third proportional to 257,084 and 395,400 is: 608,132.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    257,084 : 395,400 = 395,400 : x
  2. Step 2: Convert to fraction form
    257,084/395,400 = 395,400/x
  3. Step 3: Cross multiply
    257,084x = 395,400 × 395,400
  4. Step 4: Simplify right side
    257,084x = 156,341,160,000
  5. Step 5: Solve for x
    x = 156,341,160,000/257,084
  6. Step 6: Final answer
    x = 608,132.59

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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.