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Finding the Third Proportional to 132,121 and 198,222

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Solution

The third proportional to 132,121 and 198,222 is: 297,393.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    132,121 : 198,222 = 198,222 : x
  2. Step 2: Convert to fraction form
    132,121/198,222 = 198,222/x
  3. Step 3: Cross multiply
    132,121x = 198,222 × 198,222
  4. Step 4: Simplify right side
    132,121x = 39,291,961,284
  5. Step 5: Solve for x
    x = 39,291,961,284/132,121
  6. Step 6: Final answer
    x = 297,393.76

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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.