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Finding the Third Proportional to 321,586 and 472,743

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Solution

The third proportional to 321,586 and 472,743 is: 694,949.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    321,586 : 472,743 = 472,743 : x
  2. Step 2: Convert to fraction form
    321,586/472,743 = 472,743/x
  3. Step 3: Cross multiply
    321,586x = 472,743 × 472,743
  4. Step 4: Simplify right side
    321,586x = 223,485,944,049
  5. Step 5: Solve for x
    x = 223,485,944,049/321,586
  6. Step 6: Final answer
    x = 694,949.23

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.