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Finding the Third Proportional to 201,177 and 418,721

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Solution

The third proportional to 201,177 and 418,721 is: 871,507.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,177 : 418,721 = 418,721 : x
  2. Step 2: Convert to fraction form
    201,177/418,721 = 418,721/x
  3. Step 3: Cross multiply
    201,177x = 418,721 × 418,721
  4. Step 4: Simplify right side
    201,177x = 175,327,275,841
  5. Step 5: Solve for x
    x = 175,327,275,841/201,177
  6. Step 6: Final answer
    x = 871,507.56

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.