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Finding the Third Proportional to 138,942.84 and 221,262.89

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Solution

The third proportional to 138,942.84 and 221,262.89 is: 352,355.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    138,942.84 : 221,262.89 = 221,262.89 : x
  2. Step 2: Convert to fraction form
    138,942.84/221,262.89 = 221,262.89/x
  3. Step 3: Cross multiply
    138,942.84x = 221,262.89 × 221,262.89
  4. Step 4: Simplify right side
    138,942.84x = 48,957,266,767.73
  5. Step 5: Solve for x
    x = 48,957,266,767.73/138,942.84
  6. Step 6: Final answer
    x = 352,355.44

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.