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Finding the Third Proportional to 121,600 and 181,914

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Solution

The third proportional to 121,600 and 181,914 is: 272,143.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    121,600 : 181,914 = 181,914 : x
  2. Step 2: Convert to fraction form
    121,600/181,914 = 181,914/x
  3. Step 3: Cross multiply
    121,600x = 181,914 × 181,914
  4. Step 4: Simplify right side
    121,600x = 33,092,703,396
  5. Step 5: Solve for x
    x = 33,092,703,396/121,600
  6. Step 6: Final answer
    x = 272,143.94

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.