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Finding the Third Proportional to 292,872 and 639,456

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Solution

The third proportional to 292,872 and 639,456 is: 1,396,186.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    292,872 : 639,456 = 639,456 : x
  2. Step 2: Convert to fraction form
    292,872/639,456 = 639,456/x
  3. Step 3: Cross multiply
    292,872x = 639,456 × 639,456
  4. Step 4: Simplify right side
    292,872x = 408,903,975,936
  5. Step 5: Solve for x
    x = 408,903,975,936/292,872
  6. Step 6: Final answer
    x = 1,396,186.65

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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.