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Finding the Third Proportional to 132,242 and 198,363

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Solution

The third proportional to 132,242 and 198,363 is: 297,544.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    132,242 : 198,363 = 198,363 : x
  2. Step 2: Convert to fraction form
    132,242/198,363 = 198,363/x
  3. Step 3: Cross multiply
    132,242x = 198,363 × 198,363
  4. Step 4: Simplify right side
    132,242x = 39,347,879,769
  5. Step 5: Solve for x
    x = 39,347,879,769/132,242
  6. Step 6: Final answer
    x = 297,544.50

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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.