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Finding the Third Proportional to 202,376 and 303,320

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Solution

The third proportional to 202,376 and 303,320 is: 454,614.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    202,376 : 303,320 = 303,320 : x
  2. Step 2: Convert to fraction form
    202,376/303,320 = 303,320/x
  3. Step 3: Cross multiply
    202,376x = 303,320 × 303,320
  4. Step 4: Simplify right side
    202,376x = 92,003,022,400
  5. Step 5: Solve for x
    x = 92,003,022,400/202,376
  6. Step 6: Final answer
    x = 454,614.29

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.