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Finding the Third Proportional to 321,800 and 482,076

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Solution

The third proportional to 321,800 and 482,076 is: 722,179.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    321,800 : 482,076 = 482,076 : x
  2. Step 2: Convert to fraction form
    321,800/482,076 = 482,076/x
  3. Step 3: Cross multiply
    321,800x = 482,076 × 482,076
  4. Step 4: Simplify right side
    321,800x = 232,397,269,776
  5. Step 5: Solve for x
    x = 232,397,269,776/321,800
  6. Step 6: Final answer
    x = 722,179.21

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.