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Finding the Third Proportional to 292,876 and 639,454

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Solution

The third proportional to 292,876 and 639,454 is: 1,396,158.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    292,876 : 639,454 = 639,454 : x
  2. Step 2: Convert to fraction form
    292,876/639,454 = 639,454/x
  3. Step 3: Cross multiply
    292,876x = 639,454 × 639,454
  4. Step 4: Simplify right side
    292,876x = 408,901,418,116
  5. Step 5: Solve for x
    x = 408,901,418,116/292,876
  6. Step 6: Final answer
    x = 1,396,158.85

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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.