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Finding the Third Proportional to 90,397 and 196,650

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Solution

The third proportional to 90,397 and 196,650 is: 427,793.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    90,397 : 196,650 = 196,650 : x
  2. Step 2: Convert to fraction form
    90,397/196,650 = 196,650/x
  3. Step 3: Cross multiply
    90,397x = 196,650 × 196,650
  4. Step 4: Simplify right side
    90,397x = 38,671,222,500
  5. Step 5: Solve for x
    x = 38,671,222,500/90,397
  6. Step 6: Final answer
    x = 427,793.21

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.