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Finding the Third Proportional to 40,909 and 55,247

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Solution

The third proportional to 40,909 and 55,247 is: 74,610.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    40,909 : 55,247 = 55,247 : x
  2. Step 2: Convert to fraction form
    40,909/55,247 = 55,247/x
  3. Step 3: Cross multiply
    40,909x = 55,247 × 55,247
  4. Step 4: Simplify right side
    40,909x = 3,052,231,009
  5. Step 5: Solve for x
    x = 3,052,231,009/40,909
  6. Step 6: Final answer
    x = 74,610.26

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Why These Related Problems?

These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.