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Finding the Third Proportional to 144,206 and 215,112

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Solution

The third proportional to 144,206 and 215,112 is: 320,882.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    144,206 : 215,112 = 215,112 : x
  2. Step 2: Convert to fraction form
    144,206/215,112 = 215,112/x
  3. Step 3: Cross multiply
    144,206x = 215,112 × 215,112
  4. Step 4: Simplify right side
    144,206x = 46,273,172,544
  5. Step 5: Solve for x
    x = 46,273,172,544/144,206
  6. Step 6: Final answer
    x = 320,882.44

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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.