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Finding the Third Proportional to 202,904 and 318,288

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Solution

The third proportional to 202,904 and 318,288 is: 499,286.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    202,904 : 318,288 = 318,288 : x
  2. Step 2: Convert to fraction form
    202,904/318,288 = 318,288/x
  3. Step 3: Cross multiply
    202,904x = 318,288 × 318,288
  4. Step 4: Simplify right side
    202,904x = 101,307,250,944
  5. Step 5: Solve for x
    x = 101,307,250,944/202,904
  6. Step 6: Final answer
    x = 499,286.61

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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.