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Finding the Third Proportional to 254,498 and 381,591

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Solution

The third proportional to 254,498 and 381,591 is: 572,152.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    254,498 : 381,591 = 381,591 : x
  2. Step 2: Convert to fraction form
    254,498/381,591 = 381,591/x
  3. Step 3: Cross multiply
    254,498x = 381,591 × 381,591
  4. Step 4: Simplify right side
    254,498x = 145,611,691,281
  5. Step 5: Solve for x
    x = 145,611,691,281/254,498
  6. Step 6: Final answer
    x = 572,152.60

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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.