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Finding the Third Proportional to 221,468 and 332,144

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Solution

The third proportional to 221,468 and 332,144 is: 498,129.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    221,468 : 332,144 = 332,144 : x
  2. Step 2: Convert to fraction form
    221,468/332,144 = 332,144/x
  3. Step 3: Cross multiply
    221,468x = 332,144 × 332,144
  4. Step 4: Simplify right side
    221,468x = 110,319,636,736
  5. Step 5: Solve for x
    x = 110,319,636,736/221,468
  6. Step 6: Final answer
    x = 498,129.02

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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.