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Finding the Third Proportional to 309,960 and 656,802

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Solution

The third proportional to 309,960 and 656,802 is: 1,391,756.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    309,960 : 656,802 = 656,802 : x
  2. Step 2: Convert to fraction form
    309,960/656,802 = 656,802/x
  3. Step 3: Cross multiply
    309,960x = 656,802 × 656,802
  4. Step 4: Simplify right side
    309,960x = 431,388,867,204
  5. Step 5: Solve for x
    x = 431,388,867,204/309,960
  6. Step 6: Final answer
    x = 1,391,756.57

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.