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Finding the Third Proportional to 174,618 and 381,218

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Solution

The third proportional to 174,618 and 381,218 is: 832,257.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    174,618 : 381,218 = 381,218 : x
  2. Step 2: Convert to fraction form
    174,618/381,218 = 381,218/x
  3. Step 3: Cross multiply
    174,618x = 381,218 × 381,218
  4. Step 4: Simplify right side
    174,618x = 145,327,163,524
  5. Step 5: Solve for x
    x = 145,327,163,524/174,618
  6. Step 6: Final answer
    x = 832,257.63

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.