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Finding the Third Proportional to 312,809 and 669,898

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Solution

The third proportional to 312,809 and 669,898 is: 1,434,624.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    312,809 : 669,898 = 669,898 : x
  2. Step 2: Convert to fraction form
    312,809/669,898 = 669,898/x
  3. Step 3: Cross multiply
    312,809x = 669,898 × 669,898
  4. Step 4: Simplify right side
    312,809x = 448,763,330,404
  5. Step 5: Solve for x
    x = 448,763,330,404/312,809
  6. Step 6: Final answer
    x = 1,434,624.10

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.