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Finding the Third Proportional to 100,625 and 232,764

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Solution

The third proportional to 100,625 and 232,764 is: 538,425.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,625 : 232,764 = 232,764 : x
  2. Step 2: Convert to fraction form
    100,625/232,764 = 232,764/x
  3. Step 3: Cross multiply
    100,625x = 232,764 × 232,764
  4. Step 4: Simplify right side
    100,625x = 54,179,079,696
  5. Step 5: Solve for x
    x = 54,179,079,696/100,625
  6. Step 6: Final answer
    x = 538,425.64

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Why These Related Problems?

These problems maintain the same ratio (2.31) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.