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Finding the Third Proportional to 131,618 and 209,091

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Solution

The third proportional to 131,618 and 209,091 is: 332,166.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    131,618 : 209,091 = 209,091 : x
  2. Step 2: Convert to fraction form
    131,618/209,091 = 209,091/x
  3. Step 3: Cross multiply
    131,618x = 209,091 × 209,091
  4. Step 4: Simplify right side
    131,618x = 43,719,046,281
  5. Step 5: Solve for x
    x = 43,719,046,281/131,618
  6. Step 6: Final answer
    x = 332,166.16

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.