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Finding the Third Proportional to 221,142 and 332,823

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Solution

The third proportional to 221,142 and 332,823 is: 500,905.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    221,142 : 332,823 = 332,823 : x
  2. Step 2: Convert to fraction form
    221,142/332,823 = 332,823/x
  3. Step 3: Cross multiply
    221,142x = 332,823 × 332,823
  4. Step 4: Simplify right side
    221,142x = 110,771,149,329
  5. Step 5: Solve for x
    x = 110,771,149,329/221,142
  6. Step 6: Final answer
    x = 500,905.07

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.