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Finding the Third Proportional to 202,916 and 315,426

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Solution

The third proportional to 202,916 and 315,426 is: 490,318.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    202,916 : 315,426 = 315,426 : x
  2. Step 2: Convert to fraction form
    202,916/315,426 = 315,426/x
  3. Step 3: Cross multiply
    202,916x = 315,426 × 315,426
  4. Step 4: Simplify right side
    202,916x = 99,493,561,476
  5. Step 5: Solve for x
    x = 99,493,561,476/202,916
  6. Step 6: Final answer
    x = 490,318.96

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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.