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Finding the Third Proportional to 91,718 and 200,805.75

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Solution

The third proportional to 91,718 and 200,805.75 is: 439,640.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    91,718 : 200,805.75 = 200,805.75 : x
  2. Step 2: Convert to fraction form
    91,718/200,805.75 = 200,805.75/x
  3. Step 3: Cross multiply
    91,718x = 200,805.75 × 200,805.75
  4. Step 4: Simplify right side
    91,718x = 40,322,949,233.06
  5. Step 5: Solve for x
    x = 40,322,949,233.06/91,718
  6. Step 6: Final answer
    x = 439,640.52

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.