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Finding the Third Proportional to 202,108 and 313,825

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Solution

The third proportional to 202,108 and 313,825 is: 487,294.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    202,108 : 313,825 = 313,825 : x
  2. Step 2: Convert to fraction form
    202,108/313,825 = 313,825/x
  3. Step 3: Cross multiply
    202,108x = 313,825 × 313,825
  4. Step 4: Simplify right side
    202,108x = 98,486,130,625
  5. Step 5: Solve for x
    x = 98,486,130,625/202,108
  6. Step 6: Final answer
    x = 487,294.57

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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.