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Finding the Third Proportional to 253,540 and 379,520

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Solution

The third proportional to 253,540 and 379,520 is: 568,097.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    253,540 : 379,520 = 379,520 : x
  2. Step 2: Convert to fraction form
    253,540/379,520 = 379,520/x
  3. Step 3: Cross multiply
    253,540x = 379,520 × 379,520
  4. Step 4: Simplify right side
    253,540x = 144,035,430,400
  5. Step 5: Solve for x
    x = 144,035,430,400/253,540
  6. Step 6: Final answer
    x = 568,097.46

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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.