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Finding the Third Proportional to 201,171 and 418,708.50

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Solution

The third proportional to 201,171 and 418,708.50 is: 871,481.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,171 : 418,708.50 = 418,708.50 : x
  2. Step 2: Convert to fraction form
    201,171/418,708.50 = 418,708.50/x
  3. Step 3: Cross multiply
    201,171x = 418,708.50 × 418,708.50
  4. Step 4: Simplify right side
    201,171x = 175,316,807,972.25
  5. Step 5: Solve for x
    x = 175,316,807,972.25/201,171
  6. Step 6: Final answer
    x = 871,481.52

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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.