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Finding the Third Proportional to 211,596 and 287,049

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Solution

The third proportional to 211,596 and 287,049 is: 389,407.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    211,596 : 287,049 = 287,049 : x
  2. Step 2: Convert to fraction form
    211,596/287,049 = 287,049/x
  3. Step 3: Cross multiply
    211,596x = 287,049 × 287,049
  4. Step 4: Simplify right side
    211,596x = 82,397,128,401
  5. Step 5: Solve for x
    x = 82,397,128,401/211,596
  6. Step 6: Final answer
    x = 389,407.78

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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.