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Finding the Third Proportional to 42,406 and 91,794

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Solution

The third proportional to 42,406 and 91,794 is: 198,701.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    42,406 : 91,794 = 91,794 : x
  2. Step 2: Convert to fraction form
    42,406/91,794 = 91,794/x
  3. Step 3: Cross multiply
    42,406x = 91,794 × 91,794
  4. Step 4: Simplify right side
    42,406x = 8,426,138,436
  5. Step 5: Solve for x
    x = 8,426,138,436/42,406
  6. Step 6: Final answer
    x = 198,701.56

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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.