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Finding the Third Proportional to 208,872 and 318,212

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Solution

The third proportional to 208,872 and 318,212 is: 484,789.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    208,872 : 318,212 = 318,212 : x
  2. Step 2: Convert to fraction form
    208,872/318,212 = 318,212/x
  3. Step 3: Cross multiply
    208,872x = 318,212 × 318,212
  4. Step 4: Simplify right side
    208,872x = 101,258,876,944
  5. Step 5: Solve for x
    x = 101,258,876,944/208,872
  6. Step 6: Final answer
    x = 484,789.14

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.