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Finding the Third Proportional to 209,829 and 332,761.50

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Solution

The third proportional to 209,829 and 332,761.50 is: 527,716.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    209,829 : 332,761.50 = 332,761.50 : x
  2. Step 2: Convert to fraction form
    209,829/332,761.50 = 332,761.50/x
  3. Step 3: Cross multiply
    209,829x = 332,761.50 × 332,761.50
  4. Step 4: Simplify right side
    209,829x = 110,730,215,882.25
  5. Step 5: Solve for x
    x = 110,730,215,882.25/209,829
  6. Step 6: Final answer
    x = 527,716.45

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.