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Finding the Third Proportional to 84,618 and 196,749

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Solution

The third proportional to 84,618 and 196,749 is: 457,469.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    84,618 : 196,749 = 196,749 : x
  2. Step 2: Convert to fraction form
    84,618/196,749 = 196,749/x
  3. Step 3: Cross multiply
    84,618x = 196,749 × 196,749
  4. Step 4: Simplify right side
    84,618x = 38,710,169,001
  5. Step 5: Solve for x
    x = 38,710,169,001/84,618
  6. Step 6: Final answer
    x = 457,469.68

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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.