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Finding the Third Proportional to 299,816 and 638,473

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Solution

The third proportional to 299,816 and 638,473 is: 1,359,659.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    299,816 : 638,473 = 638,473 : x
  2. Step 2: Convert to fraction form
    299,816/638,473 = 638,473/x
  3. Step 3: Cross multiply
    299,816x = 638,473 × 638,473
  4. Step 4: Simplify right side
    299,816x = 407,647,771,729
  5. Step 5: Solve for x
    x = 407,647,771,729/299,816
  6. Step 6: Final answer
    x = 1,359,659.83

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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.