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Finding the Third Proportional to 221,567 and 483,234

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Solution

The third proportional to 221,567 and 483,234 is: 1,053,925.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    221,567 : 483,234 = 483,234 : x
  2. Step 2: Convert to fraction form
    221,567/483,234 = 483,234/x
  3. Step 3: Cross multiply
    221,567x = 483,234 × 483,234
  4. Step 4: Simplify right side
    221,567x = 233,515,098,756
  5. Step 5: Solve for x
    x = 233,515,098,756/221,567
  6. Step 6: Final answer
    x = 1,053,925.44

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.