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Finding the Third Proportional to 211,188 and 439,850

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Solution

The third proportional to 211,188 and 439,850 is: 916,093.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    211,188 : 439,850 = 439,850 : x
  2. Step 2: Convert to fraction form
    211,188/439,850 = 439,850/x
  3. Step 3: Cross multiply
    211,188x = 439,850 × 439,850
  4. Step 4: Simplify right side
    211,188x = 193,468,022,500
  5. Step 5: Solve for x
    x = 193,468,022,500/211,188
  6. Step 6: Final answer
    x = 916,093.82

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.