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Finding the Third Proportional to 292,878 and 639,458

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Solution

The third proportional to 292,878 and 639,458 is: 1,396,166.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    292,878 : 639,458 = 639,458 : x
  2. Step 2: Convert to fraction form
    292,878/639,458 = 639,458/x
  3. Step 3: Cross multiply
    292,878x = 639,458 × 639,458
  4. Step 4: Simplify right side
    292,878x = 408,906,533,764
  5. Step 5: Solve for x
    x = 408,906,533,764/292,878
  6. Step 6: Final answer
    x = 1,396,166.78

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.