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Finding the Third Proportional to 201,638 and 313,620

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Solution

The third proportional to 201,638 and 313,620 is: 487,792.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,638 : 313,620 = 313,620 : x
  2. Step 2: Convert to fraction form
    201,638/313,620 = 313,620/x
  3. Step 3: Cross multiply
    201,638x = 313,620 × 313,620
  4. Step 4: Simplify right side
    201,638x = 98,357,504,400
  5. Step 5: Solve for x
    x = 98,357,504,400/201,638
  6. Step 6: Final answer
    x = 487,792.50

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.