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Finding the Third Proportional to 211,982 and 297,111

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Solution

The third proportional to 211,982 and 297,111 is: 416,426.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    211,982 : 297,111 = 297,111 : x
  2. Step 2: Convert to fraction form
    211,982/297,111 = 297,111/x
  3. Step 3: Cross multiply
    211,982x = 297,111 × 297,111
  4. Step 4: Simplify right side
    211,982x = 88,274,946,321
  5. Step 5: Solve for x
    x = 88,274,946,321/211,982
  6. Step 6: Final answer
    x = 416,426.61

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.