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Finding the Third Proportional to 203,618 and 327,315

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Solution

The third proportional to 203,618 and 327,315 is: 526,157.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    203,618 : 327,315 = 327,315 : x
  2. Step 2: Convert to fraction form
    203,618/327,315 = 327,315/x
  3. Step 3: Cross multiply
    203,618x = 327,315 × 327,315
  4. Step 4: Simplify right side
    203,618x = 107,135,109,225
  5. Step 5: Solve for x
    x = 107,135,109,225/203,618
  6. Step 6: Final answer
    x = 526,157.36

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Why These Related Problems?

These problems maintain the same ratio (1.61) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.