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Finding the Third Proportional to 292,803 and 639,150

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Solution

The third proportional to 292,803 and 639,150 is: 1,395,179.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    292,803 : 639,150 = 639,150 : x
  2. Step 2: Convert to fraction form
    292,803/639,150 = 639,150/x
  3. Step 3: Cross multiply
    292,803x = 639,150 × 639,150
  4. Step 4: Simplify right side
    292,803x = 408,512,722,500
  5. Step 5: Solve for x
    x = 408,512,722,500/292,803
  6. Step 6: Final answer
    x = 1,395,179.43

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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.