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Finding the Third Proportional to 149,618 and 327,847

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Solution

The third proportional to 149,618 and 327,847 is: 718,387.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    149,618 : 327,847 = 327,847 : x
  2. Step 2: Convert to fraction form
    149,618/327,847 = 327,847/x
  3. Step 3: Cross multiply
    149,618x = 327,847 × 327,847
  4. Step 4: Simplify right side
    149,618x = 107,483,655,409
  5. Step 5: Solve for x
    x = 107,483,655,409/149,618
  6. Step 6: Final answer
    x = 718,387.20

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.