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Finding the Third Proportional to 201,463 and 282,406

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Solution

The third proportional to 201,463 and 282,406 is: 395,869.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,463 : 282,406 = 282,406 : x
  2. Step 2: Convert to fraction form
    201,463/282,406 = 282,406/x
  3. Step 3: Cross multiply
    201,463x = 282,406 × 282,406
  4. Step 4: Simplify right side
    201,463x = 79,753,148,836
  5. Step 5: Solve for x
    x = 79,753,148,836/201,463
  6. Step 6: Final answer
    x = 395,869.96

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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.