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Finding the Third Proportional to 121,415 and 182,122

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Solution

The third proportional to 121,415 and 182,122 is: 273,182.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    121,415 : 182,122 = 182,122 : x
  2. Step 2: Convert to fraction form
    121,415/182,122 = 182,122/x
  3. Step 3: Cross multiply
    121,415x = 182,122 × 182,122
  4. Step 4: Simplify right side
    121,415x = 33,168,422,884
  5. Step 5: Solve for x
    x = 33,168,422,884/121,415
  6. Step 6: Final answer
    x = 273,182.25

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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.