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Finding the Third Proportional to 381,219 and 814,791

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Solution

The third proportional to 381,219 and 814,791 is: 1,741,477.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    381,219 : 814,791 = 814,791 : x
  2. Step 2: Convert to fraction form
    381,219/814,791 = 814,791/x
  3. Step 3: Cross multiply
    381,219x = 814,791 × 814,791
  4. Step 4: Simplify right side
    381,219x = 663,884,373,681
  5. Step 5: Solve for x
    x = 663,884,373,681/381,219
  6. Step 6: Final answer
    x = 1,741,477.66

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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.