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Finding the Third Proportional to 201,418 and 282,351

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Solution

The third proportional to 201,418 and 282,351 is: 395,804.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,418 : 282,351 = 282,351 : x
  2. Step 2: Convert to fraction form
    201,418/282,351 = 282,351/x
  3. Step 3: Cross multiply
    201,418x = 282,351 × 282,351
  4. Step 4: Simplify right side
    201,418x = 79,722,087,201
  5. Step 5: Solve for x
    x = 79,722,087,201/201,418
  6. Step 6: Final answer
    x = 395,804.18

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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.