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Finding the Third Proportional to 134,420 and 198,558

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Solution

The third proportional to 134,420 and 198,558 is: 293,299.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    134,420 : 198,558 = 198,558 : x
  2. Step 2: Convert to fraction form
    134,420/198,558 = 198,558/x
  3. Step 3: Cross multiply
    134,420x = 198,558 × 198,558
  4. Step 4: Simplify right side
    134,420x = 39,425,279,364
  5. Step 5: Solve for x
    x = 39,425,279,364/134,420
  6. Step 6: Final answer
    x = 293,299.21

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Why These Related Problems?

These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.