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Finding the Third Proportional to 71,100 and 107,100

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Solution

The third proportional to 71,100 and 107,100 is: 161,327.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,100 : 107,100 = 107,100 : x
  2. Step 2: Convert to fraction form
    71,100/107,100 = 107,100/x
  3. Step 3: Cross multiply
    71,100x = 107,100 × 107,100
  4. Step 4: Simplify right side
    71,100x = 11,470,410,000
  5. Step 5: Solve for x
    x = 11,470,410,000/71,100
  6. Step 6: Final answer
    x = 161,327.85

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.