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Finding the Third Proportional to 323,846 and 490,287

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Solution

The third proportional to 323,846 and 490,287 is: 742,270.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    323,846 : 490,287 = 490,287 : x
  2. Step 2: Convert to fraction form
    323,846/490,287 = 490,287/x
  3. Step 3: Cross multiply
    323,846x = 490,287 × 490,287
  4. Step 4: Simplify right side
    323,846x = 240,381,342,369
  5. Step 5: Solve for x
    x = 240,381,342,369/323,846
  6. Step 6: Final answer
    x = 742,270.53

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.