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Finding the Third Proportional to 299,066 and 639,604

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Solution

The third proportional to 299,066 and 639,604 is: 1,367,902.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    299,066 : 639,604 = 639,604 : x
  2. Step 2: Convert to fraction form
    299,066/639,604 = 639,604/x
  3. Step 3: Cross multiply
    299,066x = 639,604 × 639,604
  4. Step 4: Simplify right side
    299,066x = 409,093,276,816
  5. Step 5: Solve for x
    x = 409,093,276,816/299,066
  6. Step 6: Final answer
    x = 1,367,902.99

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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.