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Finding the Third Proportional to 91,618 and 198,042

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Solution

The third proportional to 91,618 and 198,042 is: 428,088.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    91,618 : 198,042 = 198,042 : x
  2. Step 2: Convert to fraction form
    91,618/198,042 = 198,042/x
  3. Step 3: Cross multiply
    91,618x = 198,042 × 198,042
  4. Step 4: Simplify right side
    91,618x = 39,220,633,764
  5. Step 5: Solve for x
    x = 39,220,633,764/91,618
  6. Step 6: Final answer
    x = 428,088.74

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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.