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Finding the Third Proportional to 381,144 and 804,572

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Solution

The third proportional to 381,144 and 804,572 is: 1,698,402.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    381,144 : 804,572 = 804,572 : x
  2. Step 2: Convert to fraction form
    381,144/804,572 = 804,572/x
  3. Step 3: Cross multiply
    381,144x = 804,572 × 804,572
  4. Step 4: Simplify right side
    381,144x = 647,336,103,184
  5. Step 5: Solve for x
    x = 647,336,103,184/381,144
  6. Step 6: Final answer
    x = 1,698,402.97

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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.