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Finding the Third Proportional to 299,802 and 638,446

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Solution

The third proportional to 299,802 and 638,446 is: 1,359,608.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    299,802 : 638,446 = 638,446 : x
  2. Step 2: Convert to fraction form
    299,802/638,446 = 638,446/x
  3. Step 3: Cross multiply
    299,802x = 638,446 × 638,446
  4. Step 4: Simplify right side
    299,802x = 407,613,294,916
  5. Step 5: Solve for x
    x = 407,613,294,916/299,802
  6. Step 6: Final answer
    x = 1,359,608.32

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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.