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Finding the Third Proportional to 201,933 and 313,552

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Solution

The third proportional to 201,933 and 313,552 is: 486,868.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,933 : 313,552 = 313,552 : x
  2. Step 2: Convert to fraction form
    201,933/313,552 = 313,552/x
  3. Step 3: Cross multiply
    201,933x = 313,552 × 313,552
  4. Step 4: Simplify right side
    201,933x = 98,314,856,704
  5. Step 5: Solve for x
    x = 98,314,856,704/201,933
  6. Step 6: Final answer
    x = 486,868.70

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.