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Finding the Third Proportional to 143,922 and 215,901

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Solution

The third proportional to 143,922 and 215,901 is: 323,878.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    143,922 : 215,901 = 215,901 : x
  2. Step 2: Convert to fraction form
    143,922/215,901 = 215,901/x
  3. Step 3: Cross multiply
    143,922x = 215,901 × 215,901
  4. Step 4: Simplify right side
    143,922x = 46,613,241,801
  5. Step 5: Solve for x
    x = 46,613,241,801/143,922
  6. Step 6: Final answer
    x = 323,878.50

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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.