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Finding the Third Proportional to 211,396 and 281,814

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Solution

The third proportional to 211,396 and 281,814 is: 375,688.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    211,396 : 281,814 = 281,814 : x
  2. Step 2: Convert to fraction form
    211,396/281,814 = 281,814/x
  3. Step 3: Cross multiply
    211,396x = 281,814 × 281,814
  4. Step 4: Simplify right side
    211,396x = 79,419,130,596
  5. Step 5: Solve for x
    x = 79,419,130,596/211,396
  6. Step 6: Final answer
    x = 375,688.90

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Why These Related Problems?

These problems maintain the same ratio (1.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.