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Finding the Third Proportional to 669,720 and 1,469,503

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Solution

The third proportional to 669,720 and 1,469,503 is: 3,224,390.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    669,720 : 1,469,503 = 1,469,503 : x
  2. Step 2: Convert to fraction form
    669,720/1,469,503 = 1,469,503/x
  3. Step 3: Cross multiply
    669,720x = 1,469,503 × 1,469,503
  4. Step 4: Simplify right side
    669,720x = 2,159,439,067,009
  5. Step 5: Solve for x
    x = 2,159,439,067,009/669,720
  6. Step 6: Final answer
    x = 3,224,390.89

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.