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Finding the Third Proportional to 202,880 and 315,395

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Solution

The third proportional to 202,880 and 315,395 is: 490,309.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    202,880 : 315,395 = 315,395 : x
  2. Step 2: Convert to fraction form
    202,880/315,395 = 315,395/x
  3. Step 3: Cross multiply
    202,880x = 315,395 × 315,395
  4. Step 4: Simplify right side
    202,880x = 99,474,006,025
  5. Step 5: Solve for x
    x = 99,474,006,025/202,880
  6. Step 6: Final answer
    x = 490,309.57

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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.