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Finding the Third Proportional to 207,096 and 318,216

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Solution

The third proportional to 207,096 and 318,216 is: 488,958.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    207,096 : 318,216 = 318,216 : x
  2. Step 2: Convert to fraction form
    207,096/318,216 = 318,216/x
  3. Step 3: Cross multiply
    207,096x = 318,216 × 318,216
  4. Step 4: Simplify right side
    207,096x = 101,261,422,656
  5. Step 5: Solve for x
    x = 101,261,422,656/207,096
  6. Step 6: Final answer
    x = 488,958.85

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.