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Finding the Third Proportional to 121,422 and 180,888

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Solution

The third proportional to 121,422 and 180,888 is: 269,477.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    121,422 : 180,888 = 180,888 : x
  2. Step 2: Convert to fraction form
    121,422/180,888 = 180,888/x
  3. Step 3: Cross multiply
    121,422x = 180,888 × 180,888
  4. Step 4: Simplify right side
    121,422x = 32,720,468,544
  5. Step 5: Solve for x
    x = 32,720,468,544/121,422
  6. Step 6: Final answer
    x = 269,477.27

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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.