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Finding the Third Proportional to 140,051 and 217,218

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Solution

The third proportional to 140,051 and 217,218 is: 336,903.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    140,051 : 217,218 = 217,218 : x
  2. Step 2: Convert to fraction form
    140,051/217,218 = 217,218/x
  3. Step 3: Cross multiply
    140,051x = 217,218 × 217,218
  4. Step 4: Simplify right side
    140,051x = 47,183,659,524
  5. Step 5: Solve for x
    x = 47,183,659,524/140,051
  6. Step 6: Final answer
    x = 336,903.41

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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.