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Finding the Third Proportional to 42,939 and 91,775

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Solution

The third proportional to 42,939 and 91,775 is: 196,153.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    42,939 : 91,775 = 91,775 : x
  2. Step 2: Convert to fraction form
    42,939/91,775 = 91,775/x
  3. Step 3: Cross multiply
    42,939x = 91,775 × 91,775
  4. Step 4: Simplify right side
    42,939x = 8,422,650,625
  5. Step 5: Solve for x
    x = 8,422,650,625/42,939
  6. Step 6: Final answer
    x = 196,153.86

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.