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Finding the Third Proportional to 90,646 and 199,216

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Solution

The third proportional to 90,646 and 199,216 is: 437,824.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    90,646 : 199,216 = 199,216 : x
  2. Step 2: Convert to fraction form
    90,646/199,216 = 199,216/x
  3. Step 3: Cross multiply
    90,646x = 199,216 × 199,216
  4. Step 4: Simplify right side
    90,646x = 39,687,014,656
  5. Step 5: Solve for x
    x = 39,687,014,656/90,646
  6. Step 6: Final answer
    x = 437,824.22

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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.