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Finding the Third Proportional to 338,774 and 669,040

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Solution

The third proportional to 338,774 and 669,040 is: 1,321,277.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    338,774 : 669,040 = 669,040 : x
  2. Step 2: Convert to fraction form
    338,774/669,040 = 669,040/x
  3. Step 3: Cross multiply
    338,774x = 669,040 × 669,040
  4. Step 4: Simplify right side
    338,774x = 447,614,521,600
  5. Step 5: Solve for x
    x = 447,614,521,600/338,774
  6. Step 6: Final answer
    x = 1,321,277.67

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Why These Related Problems?

These problems maintain the same ratio (1.97) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.