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Finding the Third Proportional to 437,122 and 659,699

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Solution

The third proportional to 437,122 and 659,699 is: 995,609.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    437,122 : 659,699 = 659,699 : x
  2. Step 2: Convert to fraction form
    437,122/659,699 = 659,699/x
  3. Step 3: Cross multiply
    437,122x = 659,699 × 659,699
  4. Step 4: Simplify right side
    437,122x = 435,202,770,601
  5. Step 5: Solve for x
    x = 435,202,770,601/437,122
  6. Step 6: Final answer
    x = 995,609.40

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.