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Finding the Third Proportional to 144,912 and 221,691

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Solution

The third proportional to 144,912 and 221,691 is: 339,149.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    144,912 : 221,691 = 221,691 : x
  2. Step 2: Convert to fraction form
    144,912/221,691 = 221,691/x
  3. Step 3: Cross multiply
    144,912x = 221,691 × 221,691
  4. Step 4: Simplify right side
    144,912x = 49,146,899,481
  5. Step 5: Solve for x
    x = 49,146,899,481/144,912
  6. Step 6: Final answer
    x = 339,149.96

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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.