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Finding the Third Proportional to 381,540 and 753,477

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Solution

The third proportional to 381,540 and 753,477 is: 1,487,989.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    381,540 : 753,477 = 753,477 : x
  2. Step 2: Convert to fraction form
    381,540/753,477 = 753,477/x
  3. Step 3: Cross multiply
    381,540x = 753,477 × 753,477
  4. Step 4: Simplify right side
    381,540x = 567,727,589,529
  5. Step 5: Solve for x
    x = 567,727,589,529/381,540
  6. Step 6: Final answer
    x = 1,487,989.70

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Why These Related Problems?

These problems maintain the same ratio (1.97) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.