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Finding the Third Proportional to 125,390 and 283,505

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Solution

The third proportional to 125,390 and 283,505 is: 641,000.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    125,390 : 283,505 = 283,505 : x
  2. Step 2: Convert to fraction form
    125,390/283,505 = 283,505/x
  3. Step 3: Cross multiply
    125,390x = 283,505 × 283,505
  4. Step 4: Simplify right side
    125,390x = 80,375,085,025
  5. Step 5: Solve for x
    x = 80,375,085,025/125,390
  6. Step 6: Final answer
    x = 641,000.76

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Why These Related Problems?

These problems maintain the same ratio (2.26) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.