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Finding the Third Proportional to 41,962 and 91,033

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Solution

The third proportional to 41,962 and 91,033 is: 197,488.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    41,962 : 91,033 = 91,033 : x
  2. Step 2: Convert to fraction form
    41,962/91,033 = 91,033/x
  3. Step 3: Cross multiply
    41,962x = 91,033 × 91,033
  4. Step 4: Simplify right side
    41,962x = 8,287,007,089
  5. Step 5: Solve for x
    x = 8,287,007,089/41,962
  6. Step 6: Final answer
    x = 197,488.37

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.