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Finding the Third Proportional to 292,338 and 639,351

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Solution

The third proportional to 292,338 and 639,351 is: 1,398,277.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    292,338 : 639,351 = 639,351 : x
  2. Step 2: Convert to fraction form
    292,338/639,351 = 639,351/x
  3. Step 3: Cross multiply
    292,338x = 639,351 × 639,351
  4. Step 4: Simplify right side
    292,338x = 408,769,701,201
  5. Step 5: Solve for x
    x = 408,769,701,201/292,338
  6. Step 6: Final answer
    x = 1,398,277.68

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.