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Finding the Third Proportional to 214,412 and 323,802

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Solution

The third proportional to 214,412 and 323,802 is: 489,001.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    214,412 : 323,802 = 323,802 : x
  2. Step 2: Convert to fraction form
    214,412/323,802 = 323,802/x
  3. Step 3: Cross multiply
    214,412x = 323,802 × 323,802
  4. Step 4: Simplify right side
    214,412x = 104,847,735,204
  5. Step 5: Solve for x
    x = 104,847,735,204/214,412
  6. Step 6: Final answer
    x = 489,001.25

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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.