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Finding the Third Proportional to 202,930 and 315,444

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Solution

The third proportional to 202,930 and 315,444 is: 490,341.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    202,930 : 315,444 = 315,444 : x
  2. Step 2: Convert to fraction form
    202,930/315,444 = 315,444/x
  3. Step 3: Cross multiply
    202,930x = 315,444 × 315,444
  4. Step 4: Simplify right side
    202,930x = 99,504,917,136
  5. Step 5: Solve for x
    x = 99,504,917,136/202,930
  6. Step 6: Final answer
    x = 490,341.09

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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.