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Finding the Third Proportional to 131,615 and 211,958

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Solution

The third proportional to 131,615 and 211,958 is: 341,345.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    131,615 : 211,958 = 211,958 : x
  2. Step 2: Convert to fraction form
    131,615/211,958 = 211,958/x
  3. Step 3: Cross multiply
    131,615x = 211,958 × 211,958
  4. Step 4: Simplify right side
    131,615x = 44,926,193,764
  5. Step 5: Solve for x
    x = 44,926,193,764/131,615
  6. Step 6: Final answer
    x = 341,345.54

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Why These Related Problems?

These problems maintain the same ratio (1.61) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.