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Finding the Third Proportional to 323,820 and 490,257

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Solution

The third proportional to 323,820 and 490,257 is: 742,239.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    323,820 : 490,257 = 490,257 : x
  2. Step 2: Convert to fraction form
    323,820/490,257 = 490,257/x
  3. Step 3: Cross multiply
    323,820x = 490,257 × 490,257
  4. Step 4: Simplify right side
    323,820x = 240,351,926,049
  5. Step 5: Solve for x
    x = 240,351,926,049/323,820
  6. Step 6: Final answer
    x = 742,239.29

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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.