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Finding the Third Proportional to 90,329.25 and 196,743.75

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Solution

The third proportional to 90,329.25 and 196,743.75 is: 428,522.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    90,329.25 : 196,743.75 = 196,743.75 : x
  2. Step 2: Convert to fraction form
    90,329.25/196,743.75 = 196,743.75/x
  3. Step 3: Cross multiply
    90,329.25x = 196,743.75 × 196,743.75
  4. Step 4: Simplify right side
    90,329.25x = 38,708,103,164.06
  5. Step 5: Solve for x
    x = 38,708,103,164.06/90,329.25
  6. Step 6: Final answer
    x = 428,522.36

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.