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Finding the Third Proportional to 202,122 and 313,847

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Solution

The third proportional to 202,122 and 313,847 is: 487,329.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    202,122 : 313,847 = 313,847 : x
  2. Step 2: Convert to fraction form
    202,122/313,847 = 313,847/x
  3. Step 3: Cross multiply
    202,122x = 313,847 × 313,847
  4. Step 4: Simplify right side
    202,122x = 98,499,939,409
  5. Step 5: Solve for x
    x = 98,499,939,409/202,122
  6. Step 6: Final answer
    x = 487,329.13

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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.