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Finding the Third Proportional to 323,685 and 490,026

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Solution

The third proportional to 323,685 and 490,026 is: 741,849.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    323,685 : 490,026 = 490,026 : x
  2. Step 2: Convert to fraction form
    323,685/490,026 = 490,026/x
  3. Step 3: Cross multiply
    323,685x = 490,026 × 490,026
  4. Step 4: Simplify right side
    323,685x = 240,125,480,676
  5. Step 5: Solve for x
    x = 240,125,480,676/323,685
  6. Step 6: Final answer
    x = 741,849.27

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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.