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Finding the Third Proportional to 321,471 and 485,122

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Solution

The third proportional to 321,471 and 485,122 is: 732,082.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    321,471 : 485,122 = 485,122 : x
  2. Step 2: Convert to fraction form
    321,471/485,122 = 485,122/x
  3. Step 3: Cross multiply
    321,471x = 485,122 × 485,122
  4. Step 4: Simplify right side
    321,471x = 235,343,354,884
  5. Step 5: Solve for x
    x = 235,343,354,884/321,471
  6. Step 6: Final answer
    x = 732,082.69

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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.