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Finding the Third Proportional to 91,990 and 201,644

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Solution

The third proportional to 91,990 and 201,644 is: 442,007.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    91,990 : 201,644 = 201,644 : x
  2. Step 2: Convert to fraction form
    91,990/201,644 = 201,644/x
  3. Step 3: Cross multiply
    91,990x = 201,644 × 201,644
  4. Step 4: Simplify right side
    91,990x = 40,660,302,736
  5. Step 5: Solve for x
    x = 40,660,302,736/91,990
  6. Step 6: Final answer
    x = 442,007.86

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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.