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Finding the Third Proportional to 313,909 and 668,272

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Solution

The third proportional to 313,909 and 668,272 is: 1,422,665.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    313,909 : 668,272 = 668,272 : x
  2. Step 2: Convert to fraction form
    313,909/668,272 = 668,272/x
  3. Step 3: Cross multiply
    313,909x = 668,272 × 668,272
  4. Step 4: Simplify right side
    313,909x = 446,587,465,984
  5. Step 5: Solve for x
    x = 446,587,465,984/313,909
  6. Step 6: Final answer
    x = 1,422,665.38

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.