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Finding the Third Proportional to 135,378 and 198,446

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Solution

The third proportional to 135,378 and 198,446 is: 290,895.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    135,378 : 198,446 = 198,446 : x
  2. Step 2: Convert to fraction form
    135,378/198,446 = 198,446/x
  3. Step 3: Cross multiply
    135,378x = 198,446 × 198,446
  4. Step 4: Simplify right side
    135,378x = 39,380,814,916
  5. Step 5: Solve for x
    x = 39,380,814,916/135,378
  6. Step 6: Final answer
    x = 290,895.23

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.