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Finding the Third Proportional to 44,877 and 91,226

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Solution

The third proportional to 44,877 and 91,226 is: 185,444.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    44,877 : 91,226 = 91,226 : x
  2. Step 2: Convert to fraction form
    44,877/91,226 = 91,226/x
  3. Step 3: Cross multiply
    44,877x = 91,226 × 91,226
  4. Step 4: Simplify right side
    44,877x = 8,322,183,076
  5. Step 5: Solve for x
    x = 8,322,183,076/44,877
  6. Step 6: Final answer
    x = 185,444.28

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Why These Related Problems?

These problems maintain the same ratio (2.03) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.