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Finding the Third Proportional to 91,660 and 195,430

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Solution

The third proportional to 91,660 and 195,430 is: 416,679.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    91,660 : 195,430 = 195,430 : x
  2. Step 2: Convert to fraction form
    91,660/195,430 = 195,430/x
  3. Step 3: Cross multiply
    91,660x = 195,430 × 195,430
  4. Step 4: Simplify right side
    91,660x = 38,192,884,900
  5. Step 5: Solve for x
    x = 38,192,884,900/91,660
  6. Step 6: Final answer
    x = 416,679.96

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.