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Finding the Third Proportional to 201,081 and 281,253.75

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Solution

The third proportional to 201,081 and 281,253.75 is: 393,392.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,081 : 281,253.75 = 281,253.75 : x
  2. Step 2: Convert to fraction form
    201,081/281,253.75 = 281,253.75/x
  3. Step 3: Cross multiply
    201,081x = 281,253.75 × 281,253.75
  4. Step 4: Simplify right side
    201,081x = 79,103,671,889.06
  5. Step 5: Solve for x
    x = 79,103,671,889.06/201,081
  6. Step 6: Final answer
    x = 393,392.08

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.