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Finding the Third Proportional to 72,873 and 107,225

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Solution

The third proportional to 72,873 and 107,225 is: 157,770.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    72,873 : 107,225 = 107,225 : x
  2. Step 2: Convert to fraction form
    72,873/107,225 = 107,225/x
  3. Step 3: Cross multiply
    72,873x = 107,225 × 107,225
  4. Step 4: Simplify right side
    72,873x = 11,497,200,625
  5. Step 5: Solve for x
    x = 11,497,200,625/72,873
  6. Step 6: Final answer
    x = 157,770.38

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.