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Finding the Third Proportional to 110,787 and 236,335.50

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Solution

The third proportional to 110,787 and 236,335.50 is: 504,160.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    110,787 : 236,335.50 = 236,335.50 : x
  2. Step 2: Convert to fraction form
    110,787/236,335.50 = 236,335.50/x
  3. Step 3: Cross multiply
    110,787x = 236,335.50 × 236,335.50
  4. Step 4: Simplify right side
    110,787x = 55,854,468,560.25
  5. Step 5: Solve for x
    x = 55,854,468,560.25/110,787
  6. Step 6: Final answer
    x = 504,160.85

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.