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Finding the Third Proportional to 201,394 and 282,317

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Solution

The third proportional to 201,394 and 282,317 is: 395,756.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,394 : 282,317 = 282,317 : x
  2. Step 2: Convert to fraction form
    201,394/282,317 = 282,317/x
  3. Step 3: Cross multiply
    201,394x = 282,317 × 282,317
  4. Step 4: Simplify right side
    201,394x = 79,702,888,489
  5. Step 5: Solve for x
    x = 79,702,888,489/201,394
  6. Step 6: Final answer
    x = 395,756.02

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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.