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Finding the Third Proportional to 376,469 and 811,582

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Solution

The third proportional to 376,469 and 811,582 is: 1,749,587.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    376,469 : 811,582 = 811,582 : x
  2. Step 2: Convert to fraction form
    376,469/811,582 = 811,582/x
  3. Step 3: Cross multiply
    376,469x = 811,582 × 811,582
  4. Step 4: Simplify right side
    376,469x = 658,665,342,724
  5. Step 5: Solve for x
    x = 658,665,342,724/376,469
  6. Step 6: Final answer
    x = 1,749,587.20

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.