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Finding the Third Proportional to 381,080 and 804,928

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Solution

The third proportional to 381,080 and 804,928 is: 1,700,191.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    381,080 : 804,928 = 804,928 : x
  2. Step 2: Convert to fraction form
    381,080/804,928 = 804,928/x
  3. Step 3: Cross multiply
    381,080x = 804,928 × 804,928
  4. Step 4: Simplify right side
    381,080x = 647,909,085,184
  5. Step 5: Solve for x
    x = 647,909,085,184/381,080
  6. Step 6: Final answer
    x = 1,700,191.78

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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.