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Finding the Third Proportional to 144,876.38 and 221,620.88

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Solution

The third proportional to 144,876.38 and 221,620.88 is: 339,018.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    144,876.38 : 221,620.88 = 221,620.88 : x
  2. Step 2: Convert to fraction form
    144,876.38/221,620.88 = 221,620.88/x
  3. Step 3: Cross multiply
    144,876.38x = 221,620.88 × 221,620.88
  4. Step 4: Simplify right side
    144,876.38x = 49,115,812,235.77
  5. Step 5: Solve for x
    x = 49,115,812,235.77/144,876.38
  6. Step 6: Final answer
    x = 339,018.78

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.