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Finding the Third Proportional to 201,218 and 282,025

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Solution

The third proportional to 201,218 and 282,025 is: 395,283.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,218 : 282,025 = 282,025 : x
  2. Step 2: Convert to fraction form
    201,218/282,025 = 282,025/x
  3. Step 3: Cross multiply
    201,218x = 282,025 × 282,025
  4. Step 4: Simplify right side
    201,218x = 79,538,100,625
  5. Step 5: Solve for x
    x = 79,538,100,625/201,218
  6. Step 6: Final answer
    x = 395,283.23

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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.