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Finding the Third Proportional to 202,871 and 315,357

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Solution

The third proportional to 202,871 and 315,357 is: 490,213.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    202,871 : 315,357 = 315,357 : x
  2. Step 2: Convert to fraction form
    202,871/315,357 = 315,357/x
  3. Step 3: Cross multiply
    202,871x = 315,357 × 315,357
  4. Step 4: Simplify right side
    202,871x = 99,450,037,449
  5. Step 5: Solve for x
    x = 99,450,037,449/202,871
  6. Step 6: Final answer
    x = 490,213.18

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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.