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Finding the Third Proportional to 90,580 and 196,708

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Solution

The third proportional to 90,580 and 196,708 is: 427,180.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    90,580 : 196,708 = 196,708 : x
  2. Step 2: Convert to fraction form
    90,580/196,708 = 196,708/x
  3. Step 3: Cross multiply
    90,580x = 196,708 × 196,708
  4. Step 4: Simplify right side
    90,580x = 38,694,037,264
  5. Step 5: Solve for x
    x = 38,694,037,264/90,580
  6. Step 6: Final answer
    x = 427,180.80

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.