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Finding the Third Proportional to 252,638 and 381,574

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Solution

The third proportional to 252,638 and 381,574 is: 576,313.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    252,638 : 381,574 = 381,574 : x
  2. Step 2: Convert to fraction form
    252,638/381,574 = 381,574/x
  3. Step 3: Cross multiply
    252,638x = 381,574 × 381,574
  4. Step 4: Simplify right side
    252,638x = 145,598,717,476
  5. Step 5: Solve for x
    x = 145,598,717,476/252,638
  6. Step 6: Final answer
    x = 576,313.61

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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.