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Finding the Third Proportional to 90,534 and 198,896

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Solution

The third proportional to 90,534 and 198,896 is: 436,958.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    90,534 : 198,896 = 198,896 : x
  2. Step 2: Convert to fraction form
    90,534/198,896 = 198,896/x
  3. Step 3: Cross multiply
    90,534x = 198,896 × 198,896
  4. Step 4: Simplify right side
    90,534x = 39,559,618,816
  5. Step 5: Solve for x
    x = 39,559,618,816/90,534
  6. Step 6: Final answer
    x = 436,958.70

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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.