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Finding the Third Proportional to 132,198 and 198,459

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Solution

The third proportional to 132,198 and 198,459 is: 297,931.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    132,198 : 198,459 = 198,459 : x
  2. Step 2: Convert to fraction form
    132,198/198,459 = 198,459/x
  3. Step 3: Cross multiply
    132,198x = 198,459 × 198,459
  4. Step 4: Simplify right side
    132,198x = 39,385,974,681
  5. Step 5: Solve for x
    x = 39,385,974,681/132,198
  6. Step 6: Final answer
    x = 297,931.70

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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.