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Finding the Third Proportional to 90,561.75 and 198,963.75

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Solution

The third proportional to 90,561.75 and 198,963.75 is: 437,122.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    90,561.75 : 198,963.75 = 198,963.75 : x
  2. Step 2: Convert to fraction form
    90,561.75/198,963.75 = 198,963.75/x
  3. Step 3: Cross multiply
    90,561.75x = 198,963.75 × 198,963.75
  4. Step 4: Simplify right side
    90,561.75x = 39,586,573,814.06
  5. Step 5: Solve for x
    x = 39,586,573,814.06/90,561.75
  6. Step 6: Final answer
    x = 437,122.45

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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.