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Finding the Third Proportional to 132,202.50 and 198,596.25

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Solution

The third proportional to 132,202.50 and 198,596.25 is: 298,333.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    132,202.50 : 198,596.25 = 198,596.25 : x
  2. Step 2: Convert to fraction form
    132,202.50/198,596.25 = 198,596.25/x
  3. Step 3: Cross multiply
    132,202.50x = 198,596.25 × 198,596.25
  4. Step 4: Simplify right side
    132,202.50x = 39,440,470,514.06
  5. Step 5: Solve for x
    x = 39,440,470,514.06/132,202.50
  6. Step 6: Final answer
    x = 298,333.77

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.