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Finding the Third Proportional to 202,210 and 313,975

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Solution

The third proportional to 202,210 and 313,975 is: 487,514.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    202,210 : 313,975 = 313,975 : x
  2. Step 2: Convert to fraction form
    202,210/313,975 = 313,975/x
  3. Step 3: Cross multiply
    202,210x = 313,975 × 313,975
  4. Step 4: Simplify right side
    202,210x = 98,580,300,625
  5. Step 5: Solve for x
    x = 98,580,300,625/202,210
  6. Step 6: Final answer
    x = 487,514.47

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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.