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Finding the Third Proportional to 83,618 and 180,868

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Solution

The third proportional to 83,618 and 180,868 is: 391,222.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,618 : 180,868 = 180,868 : x
  2. Step 2: Convert to fraction form
    83,618/180,868 = 180,868/x
  3. Step 3: Cross multiply
    83,618x = 180,868 × 180,868
  4. Step 4: Simplify right side
    83,618x = 32,713,233,424
  5. Step 5: Solve for x
    x = 32,713,233,424/83,618
  6. Step 6: Final answer
    x = 391,222.39

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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.