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Finding the Third Proportional to 202,214 and 313,981

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Solution

The third proportional to 202,214 and 313,981 is: 487,523.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    202,214 : 313,981 = 313,981 : x
  2. Step 2: Convert to fraction form
    202,214/313,981 = 313,981/x
  3. Step 3: Cross multiply
    202,214x = 313,981 × 313,981
  4. Step 4: Simplify right side
    202,214x = 98,584,068,361
  5. Step 5: Solve for x
    x = 98,584,068,361/202,214
  6. Step 6: Final answer
    x = 487,523.46

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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.