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Finding the Third Proportional to 253,074 and 381,267

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Solution

The third proportional to 253,074 and 381,267 is: 574,395.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    253,074 : 381,267 = 381,267 : x
  2. Step 2: Convert to fraction form
    253,074/381,267 = 381,267/x
  3. Step 3: Cross multiply
    253,074x = 381,267 × 381,267
  4. Step 4: Simplify right side
    253,074x = 145,364,525,289
  5. Step 5: Solve for x
    x = 145,364,525,289/253,074
  6. Step 6: Final answer
    x = 574,395.34

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.