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Finding the Third Proportional to 361,347 and 763,392

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Solution

The third proportional to 361,347 and 763,392 is: 1,612,763.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    361,347 : 763,392 = 763,392 : x
  2. Step 2: Convert to fraction form
    361,347/763,392 = 763,392/x
  3. Step 3: Cross multiply
    361,347x = 763,392 × 763,392
  4. Step 4: Simplify right side
    361,347x = 582,767,345,664
  5. Step 5: Solve for x
    x = 582,767,345,664/361,347
  6. Step 6: Final answer
    x = 1,612,763.76

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.