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Finding the Third Proportional to 40,905 and 91,089

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Solution

The third proportional to 40,905 and 91,089 is: 202,840.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    40,905 : 91,089 = 91,089 : x
  2. Step 2: Convert to fraction form
    40,905/91,089 = 91,089/x
  3. Step 3: Cross multiply
    40,905x = 91,089 × 91,089
  4. Step 4: Simplify right side
    40,905x = 8,297,205,921
  5. Step 5: Solve for x
    x = 8,297,205,921/40,905
  6. Step 6: Final answer
    x = 202,840.87

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Why These Related Problems?

These problems maintain the same ratio (2.23) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.