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Finding the Third Proportional to 42,477 and 91,866

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Solution

The third proportional to 42,477 and 91,866 is: 198,680.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    42,477 : 91,866 = 91,866 : x
  2. Step 2: Convert to fraction form
    42,477/91,866 = 91,866/x
  3. Step 3: Cross multiply
    42,477x = 91,866 × 91,866
  4. Step 4: Simplify right side
    42,477x = 8,439,361,956
  5. Step 5: Solve for x
    x = 8,439,361,956/42,477
  6. Step 6: Final answer
    x = 198,680.74

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.