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Finding the Third Proportional to 309,720 and 656,655

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Solution

The third proportional to 309,720 and 656,655 is: 1,392,211.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    309,720 : 656,655 = 656,655 : x
  2. Step 2: Convert to fraction form
    309,720/656,655 = 656,655/x
  3. Step 3: Cross multiply
    309,720x = 656,655 × 656,655
  4. Step 4: Simplify right side
    309,720x = 431,195,789,025
  5. Step 5: Solve for x
    x = 431,195,789,025/309,720
  6. Step 6: Final answer
    x = 1,392,211.64

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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.