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Finding the Third Proportional to 323,685.75 and 490,026.75

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Solution

The third proportional to 323,685.75 and 490,026.75 is: 741,849.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    323,685.75 : 490,026.75 = 490,026.75 : x
  2. Step 2: Convert to fraction form
    323,685.75/490,026.75 = 490,026.75/x
  3. Step 3: Cross multiply
    323,685.75x = 490,026.75 × 490,026.75
  4. Step 4: Simplify right side
    323,685.75x = 240,126,215,715.56
  5. Step 5: Solve for x
    x = 240,126,215,715.56/323,685.75
  6. Step 6: Final answer
    x = 741,849.82

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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.