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Finding the Third Proportional to 90,427.13 and 198,589.13

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Solution

The third proportional to 90,427.13 and 198,589.13 is: 436,126.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    90,427.13 : 198,589.13 = 198,589.13 : x
  2. Step 2: Convert to fraction form
    90,427.13/198,589.13 = 198,589.13/x
  3. Step 3: Cross multiply
    90,427.13x = 198,589.13 × 198,589.13
  4. Step 4: Simplify right side
    90,427.13x = 39,437,640,568.27
  5. Step 5: Solve for x
    x = 39,437,640,568.27/90,427.13
  6. Step 6: Final answer
    x = 436,126.22

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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.