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Finding the Third Proportional to 202,810 and 303,907

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Solution

The third proportional to 202,810 and 303,907 is: 455,398.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    202,810 : 303,907 = 303,907 : x
  2. Step 2: Convert to fraction form
    202,810/303,907 = 303,907/x
  3. Step 3: Cross multiply
    202,810x = 303,907 × 303,907
  4. Step 4: Simplify right side
    202,810x = 92,359,464,649
  5. Step 5: Solve for x
    x = 92,359,464,649/202,810
  6. Step 6: Final answer
    x = 455,398.97

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.