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Finding the Third Proportional to 135,648 and 198,288

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Solution

The third proportional to 135,648 and 198,288 is: 289,854.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    135,648 : 198,288 = 198,288 : x
  2. Step 2: Convert to fraction form
    135,648/198,288 = 198,288/x
  3. Step 3: Cross multiply
    135,648x = 198,288 × 198,288
  4. Step 4: Simplify right side
    135,648x = 39,318,130,944
  5. Step 5: Solve for x
    x = 39,318,130,944/135,648
  6. Step 6: Final answer
    x = 289,854.11

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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.