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Finding the Third Proportional to 202,920.75 and 315,434.25

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Solution

The third proportional to 202,920.75 and 315,434.25 is: 490,333.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    202,920.75 : 315,434.25 = 315,434.25 : x
  2. Step 2: Convert to fraction form
    202,920.75/315,434.25 = 315,434.25/x
  3. Step 3: Cross multiply
    202,920.75x = 315,434.25 × 315,434.25
  4. Step 4: Simplify right side
    202,920.75x = 99,498,766,073.06
  5. Step 5: Solve for x
    x = 99,498,766,073.06/202,920.75
  6. Step 6: Final answer
    x = 490,333.13

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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.