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Finding the Third Proportional to 42,912 and 91,357

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Solution

The third proportional to 42,912 and 91,357 is: 194,493.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    42,912 : 91,357 = 91,357 : x
  2. Step 2: Convert to fraction form
    42,912/91,357 = 91,357/x
  3. Step 3: Cross multiply
    42,912x = 91,357 × 91,357
  4. Step 4: Simplify right side
    42,912x = 8,346,101,449
  5. Step 5: Solve for x
    x = 8,346,101,449/42,912
  6. Step 6: Final answer
    x = 194,493.42

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.