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Finding the Third Proportional to 392,611.50 and 622,694.25

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Solution

The third proportional to 392,611.50 and 622,694.25 is: 987,612.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    392,611.50 : 622,694.25 = 622,694.25 : x
  2. Step 2: Convert to fraction form
    392,611.50/622,694.25 = 622,694.25/x
  3. Step 3: Cross multiply
    392,611.50x = 622,694.25 × 622,694.25
  4. Step 4: Simplify right side
    392,611.50x = 387,748,128,983.06
  5. Step 5: Solve for x
    x = 387,748,128,983.06/392,611.50
  6. Step 6: Final answer
    x = 987,612.76

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.