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Finding the Third Proportional to 84,538 and 196,578

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Solution

The third proportional to 84,538 and 196,578 is: 457,106.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    84,538 : 196,578 = 196,578 : x
  2. Step 2: Convert to fraction form
    84,538/196,578 = 196,578/x
  3. Step 3: Cross multiply
    84,538x = 196,578 × 196,578
  4. Step 4: Simplify right side
    84,538x = 38,642,910,084
  5. Step 5: Solve for x
    x = 38,642,910,084/84,538
  6. Step 6: Final answer
    x = 457,106.98

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Why These Related Problems?

These problems maintain the same ratio (2.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.