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Finding the Third Proportional to 202,150 and 313,885

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Solution

The third proportional to 202,150 and 313,885 is: 487,379.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    202,150 : 313,885 = 313,885 : x
  2. Step 2: Convert to fraction form
    202,150/313,885 = 313,885/x
  3. Step 3: Cross multiply
    202,150x = 313,885 × 313,885
  4. Step 4: Simplify right side
    202,150x = 98,523,793,225
  5. Step 5: Solve for x
    x = 98,523,793,225/202,150
  6. Step 6: Final answer
    x = 487,379.64

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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.