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Finding the Third Proportional to 202,838 and 315,314

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Solution

The third proportional to 202,838 and 315,314 is: 490,159.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    202,838 : 315,314 = 315,314 : x
  2. Step 2: Convert to fraction form
    202,838/315,314 = 315,314/x
  3. Step 3: Cross multiply
    202,838x = 315,314 × 315,314
  4. Step 4: Simplify right side
    202,838x = 99,422,918,596
  5. Step 5: Solve for x
    x = 99,422,918,596/202,838
  6. Step 6: Final answer
    x = 490,159.23

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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.