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Finding the Third Proportional to 90,702 and 196,179

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Solution

The third proportional to 90,702 and 196,179 is: 424,314.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    90,702 : 196,179 = 196,179 : x
  2. Step 2: Convert to fraction form
    90,702/196,179 = 196,179/x
  3. Step 3: Cross multiply
    90,702x = 196,179 × 196,179
  4. Step 4: Simplify right side
    90,702x = 38,486,200,041
  5. Step 5: Solve for x
    x = 38,486,200,041/90,702
  6. Step 6: Final answer
    x = 424,314.79

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.