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Finding the Third Proportional to 381,000 and 814,492

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Solution

The third proportional to 381,000 and 814,492 is: 1,741,200.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    381,000 : 814,492 = 814,492 : x
  2. Step 2: Convert to fraction form
    381,000/814,492 = 814,492/x
  3. Step 3: Cross multiply
    381,000x = 814,492 × 814,492
  4. Step 4: Simplify right side
    381,000x = 663,397,218,064
  5. Step 5: Solve for x
    x = 663,397,218,064/381,000
  6. Step 6: Final answer
    x = 1,741,200.05

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.