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Finding the Third Proportional to 257,000 and 395,520

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Solution

The third proportional to 257,000 and 395,520 is: 608,700.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    257,000 : 395,520 = 395,520 : x
  2. Step 2: Convert to fraction form
    257,000/395,520 = 395,520/x
  3. Step 3: Cross multiply
    257,000x = 395,520 × 395,520
  4. Step 4: Simplify right side
    257,000x = 156,436,070,400
  5. Step 5: Solve for x
    x = 156,436,070,400/257,000
  6. Step 6: Final answer
    x = 608,700.66

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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.