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Finding the Third Proportional to 144,198 and 215,101

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Solution

The third proportional to 144,198 and 215,101 is: 320,867.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    144,198 : 215,101 = 215,101 : x
  2. Step 2: Convert to fraction form
    144,198/215,101 = 215,101/x
  3. Step 3: Cross multiply
    144,198x = 215,101 × 215,101
  4. Step 4: Simplify right side
    144,198x = 46,268,440,201
  5. Step 5: Solve for x
    x = 46,268,440,201/144,198
  6. Step 6: Final answer
    x = 320,867.42

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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.