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Finding the Third Proportional to 72,939 and 104,301

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Solution

The third proportional to 72,939 and 104,301 is: 149,147.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    72,939 : 104,301 = 104,301 : x
  2. Step 2: Convert to fraction form
    72,939/104,301 = 104,301/x
  3. Step 3: Cross multiply
    72,939x = 104,301 × 104,301
  4. Step 4: Simplify right side
    72,939x = 10,878,698,601
  5. Step 5: Solve for x
    x = 10,878,698,601/72,939
  6. Step 6: Final answer
    x = 149,147.90

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.