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Finding the Third Proportional to 209,516 and 324,353

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Solution

The third proportional to 209,516 and 324,353 is: 502,132.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    209,516 : 324,353 = 324,353 : x
  2. Step 2: Convert to fraction form
    209,516/324,353 = 324,353/x
  3. Step 3: Cross multiply
    209,516x = 324,353 × 324,353
  4. Step 4: Simplify right side
    209,516x = 105,204,868,609
  5. Step 5: Solve for x
    x = 105,204,868,609/209,516
  6. Step 6: Final answer
    x = 502,132.86

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.