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Finding the Third Proportional to 202,645.50 and 313,809

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Solution

The third proportional to 202,645.50 and 313,809 is: 485,952.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    202,645.50 : 313,809 = 313,809 : x
  2. Step 2: Convert to fraction form
    202,645.50/313,809 = 313,809/x
  3. Step 3: Cross multiply
    202,645.50x = 313,809 × 313,809
  4. Step 4: Simplify right side
    202,645.50x = 98,476,088,481
  5. Step 5: Solve for x
    x = 98,476,088,481/202,645.50
  6. Step 6: Final answer
    x = 485,952.51

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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.