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Finding the Third Proportional to 90,107 and 198,200

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Solution

The third proportional to 90,107 and 198,200 is: 435,962.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    90,107 : 198,200 = 198,200 : x
  2. Step 2: Convert to fraction form
    90,107/198,200 = 198,200/x
  3. Step 3: Cross multiply
    90,107x = 198,200 × 198,200
  4. Step 4: Simplify right side
    90,107x = 39,283,240,000
  5. Step 5: Solve for x
    x = 39,283,240,000/90,107
  6. Step 6: Final answer
    x = 435,962.13

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.