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Finding the Third Proportional to 219,611 and 321,039

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Solution

The third proportional to 219,611 and 321,039 is: 469,311.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    219,611 : 321,039 = 321,039 : x
  2. Step 2: Convert to fraction form
    219,611/321,039 = 321,039/x
  3. Step 3: Cross multiply
    219,611x = 321,039 × 321,039
  4. Step 4: Simplify right side
    219,611x = 103,066,039,521
  5. Step 5: Solve for x
    x = 103,066,039,521/219,611
  6. Step 6: Final answer
    x = 469,311.83

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.