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Finding the Third Proportional to 210,964 and 281,811

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Solution

The third proportional to 210,964 and 281,811 is: 376,450.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    210,964 : 281,811 = 281,811 : x
  2. Step 2: Convert to fraction form
    210,964/281,811 = 281,811/x
  3. Step 3: Cross multiply
    210,964x = 281,811 × 281,811
  4. Step 4: Simplify right side
    210,964x = 79,417,439,721
  5. Step 5: Solve for x
    x = 79,417,439,721/210,964
  6. Step 6: Final answer
    x = 376,450.20

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Why These Related Problems?

These problems maintain the same ratio (1.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.