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Finding the Third Proportional to 221,446 and 324,787

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Solution

The third proportional to 221,446 and 324,787 is: 476,353.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    221,446 : 324,787 = 324,787 : x
  2. Step 2: Convert to fraction form
    221,446/324,787 = 324,787/x
  3. Step 3: Cross multiply
    221,446x = 324,787 × 324,787
  4. Step 4: Simplify right side
    221,446x = 105,486,595,369
  5. Step 5: Solve for x
    x = 105,486,595,369/221,446
  6. Step 6: Final answer
    x = 476,353.58

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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.