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Finding the Third Proportional to 10,618 and 18,878

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Solution

The third proportional to 10,618 and 18,878 is: 33,563.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,618 : 18,878 = 18,878 : x
  2. Step 2: Convert to fraction form
    10,618/18,878 = 18,878/x
  3. Step 3: Cross multiply
    10,618x = 18,878 × 18,878
  4. Step 4: Simplify right side
    10,618x = 356,378,884
  5. Step 5: Solve for x
    x = 356,378,884/10,618
  6. Step 6: Final answer
    x = 33,563.65

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Why These Related Problems?

These problems maintain the same ratio (1.78) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.