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Finding the Third Proportional to 135,188 and 198,708

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Solution

The third proportional to 135,188 and 198,708 is: 292,073.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    135,188 : 198,708 = 198,708 : x
  2. Step 2: Convert to fraction form
    135,188/198,708 = 198,708/x
  3. Step 3: Cross multiply
    135,188x = 198,708 × 198,708
  4. Step 4: Simplify right side
    135,188x = 39,484,869,264
  5. Step 5: Solve for x
    x = 39,484,869,264/135,188
  6. Step 6: Final answer
    x = 292,073.77

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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.