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Finding the Third Proportional to 78,962 and 104,331

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Solution

The third proportional to 78,962 and 104,331 is: 137,850.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,962 : 104,331 = 104,331 : x
  2. Step 2: Convert to fraction form
    78,962/104,331 = 104,331/x
  3. Step 3: Cross multiply
    78,962x = 104,331 × 104,331
  4. Step 4: Simplify right side
    78,962x = 10,884,957,561
  5. Step 5: Solve for x
    x = 10,884,957,561/78,962
  6. Step 6: Final answer
    x = 137,850.58

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Why These Related Problems?

These problems maintain the same ratio (1.32) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.