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Finding the Third Proportional to 381,073 and 804,914

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Solution

The third proportional to 381,073 and 804,914 is: 1,700,163.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    381,073 : 804,914 = 804,914 : x
  2. Step 2: Convert to fraction form
    381,073/804,914 = 804,914/x
  3. Step 3: Cross multiply
    381,073x = 804,914 × 804,914
  4. Step 4: Simplify right side
    381,073x = 647,886,547,396
  5. Step 5: Solve for x
    x = 647,886,547,396/381,073
  6. Step 6: Final answer
    x = 1,700,163.87

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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.