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Finding the Third Proportional to 201,074.06 and 418,687.31

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Solution

The third proportional to 201,074.06 and 418,687.31 is: 871,813.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,074.06 : 418,687.31 = 418,687.31 : x
  2. Step 2: Convert to fraction form
    201,074.06/418,687.31 = 418,687.31/x
  3. Step 3: Cross multiply
    201,074.06x = 418,687.31 × 418,687.31
  4. Step 4: Simplify right side
    201,074.06x = 175,299,065,648.47
  5. Step 5: Solve for x
    x = 175,299,065,648.47/201,074.06
  6. Step 6: Final answer
    x = 871,813.42

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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.