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Finding the Third Proportional to 72,184 and 107,912

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Solution

The third proportional to 72,184 and 107,912 is: 161,323.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    72,184 : 107,912 = 107,912 : x
  2. Step 2: Convert to fraction form
    72,184/107,912 = 107,912/x
  3. Step 3: Cross multiply
    72,184x = 107,912 × 107,912
  4. Step 4: Simplify right side
    72,184x = 11,644,999,744
  5. Step 5: Solve for x
    x = 11,644,999,744/72,184
  6. Step 6: Final answer
    x = 161,323.84

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.