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Finding the Third Proportional to 392,326.88 and 831,733.88

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Solution

The third proportional to 392,326.88 and 831,733.88 is: 1,763,277.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    392,326.88 : 831,733.88 = 831,733.88 : x
  2. Step 2: Convert to fraction form
    392,326.88/831,733.88 = 831,733.88/x
  3. Step 3: Cross multiply
    392,326.88x = 831,733.88 × 831,733.88
  4. Step 4: Simplify right side
    392,326.88x = 691,781,238,822.52
  5. Step 5: Solve for x
    x = 691,781,238,822.52/392,326.88
  6. Step 6: Final answer
    x = 1,763,277.72

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.