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Finding the Third Proportional to 202,132 and 313,855

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Solution

The third proportional to 202,132 and 313,855 is: 487,329.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    202,132 : 313,855 = 313,855 : x
  2. Step 2: Convert to fraction form
    202,132/313,855 = 313,855/x
  3. Step 3: Cross multiply
    202,132x = 313,855 × 313,855
  4. Step 4: Simplify right side
    202,132x = 98,504,961,025
  5. Step 5: Solve for x
    x = 98,504,961,025/202,132
  6. Step 6: Final answer
    x = 487,329.87

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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.