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Finding the Third Proportional to 90,642.75 and 199,409.25

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Solution

The third proportional to 90,642.75 and 199,409.25 is: 438,689.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    90,642.75 : 199,409.25 = 199,409.25 : x
  2. Step 2: Convert to fraction form
    90,642.75/199,409.25 = 199,409.25/x
  3. Step 3: Cross multiply
    90,642.75x = 199,409.25 × 199,409.25
  4. Step 4: Simplify right side
    90,642.75x = 39,764,048,985.56
  5. Step 5: Solve for x
    x = 39,764,048,985.56/90,642.75
  6. Step 6: Final answer
    x = 438,689.79

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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.