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Finding the Third Proportional to 202,840 and 318,185

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Solution

The third proportional to 202,840 and 318,185 is: 499,120.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    202,840 : 318,185 = 318,185 : x
  2. Step 2: Convert to fraction form
    202,840/318,185 = 318,185/x
  3. Step 3: Cross multiply
    202,840x = 318,185 × 318,185
  4. Step 4: Simplify right side
    202,840x = 101,241,694,225
  5. Step 5: Solve for x
    x = 101,241,694,225/202,840
  6. Step 6: Final answer
    x = 499,120.95

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.