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Finding the Third Proportional to 202,172 and 313,916

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Solution

The third proportional to 202,172 and 313,916 is: 487,422.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    202,172 : 313,916 = 313,916 : x
  2. Step 2: Convert to fraction form
    202,172/313,916 = 313,916/x
  3. Step 3: Cross multiply
    202,172x = 313,916 × 313,916
  4. Step 4: Simplify right side
    202,172x = 98,543,255,056
  5. Step 5: Solve for x
    x = 98,543,255,056/202,172
  6. Step 6: Final answer
    x = 487,422.86

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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.