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Finding the Third Proportional to 421,048 and 669,296

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Solution

The third proportional to 421,048 and 669,296 is: 1,063,909.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    421,048 : 669,296 = 669,296 : x
  2. Step 2: Convert to fraction form
    421,048/669,296 = 669,296/x
  3. Step 3: Cross multiply
    421,048x = 669,296 × 669,296
  4. Step 4: Simplify right side
    421,048x = 447,957,135,616
  5. Step 5: Solve for x
    x = 447,957,135,616/421,048
  6. Step 6: Final answer
    x = 1,063,909.90

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.