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Finding the Third Proportional to 381,942 and 829,600

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Solution

The third proportional to 381,942 and 829,600 is: 1,801,938.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    381,942 : 829,600 = 829,600 : x
  2. Step 2: Convert to fraction form
    381,942/829,600 = 829,600/x
  3. Step 3: Cross multiply
    381,942x = 829,600 × 829,600
  4. Step 4: Simplify right side
    381,942x = 688,236,160,000
  5. Step 5: Solve for x
    x = 688,236,160,000/381,942
  6. Step 6: Final answer
    x = 1,801,938.93

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.