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Finding the Third Proportional to 135,516 and 198,414

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Solution

The third proportional to 135,516 and 198,414 is: 290,505.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    135,516 : 198,414 = 198,414 : x
  2. Step 2: Convert to fraction form
    135,516/198,414 = 198,414/x
  3. Step 3: Cross multiply
    135,516x = 198,414 × 198,414
  4. Step 4: Simplify right side
    135,516x = 39,368,115,396
  5. Step 5: Solve for x
    x = 39,368,115,396/135,516
  6. Step 6: Final answer
    x = 290,505.29

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.