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Finding the Third Proportional to 211,344 and 287,850

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Solution

The third proportional to 211,344 and 287,850 is: 392,050.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    211,344 : 287,850 = 287,850 : x
  2. Step 2: Convert to fraction form
    211,344/287,850 = 287,850/x
  3. Step 3: Cross multiply
    211,344x = 287,850 × 287,850
  4. Step 4: Simplify right side
    211,344x = 82,857,622,500
  5. Step 5: Solve for x
    x = 82,857,622,500/211,344
  6. Step 6: Final answer
    x = 392,050.98

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Why These Related Problems?

These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.