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Finding the Third Proportional to 61,138.13 and 133,138.69

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Solution

The third proportional to 61,138.13 and 133,138.69 is: 289,932.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    61,138.13 : 133,138.69 = 133,138.69 : x
  2. Step 2: Convert to fraction form
    61,138.13/133,138.69 = 133,138.69/x
  3. Step 3: Cross multiply
    61,138.13x = 133,138.69 × 133,138.69
  4. Step 4: Simplify right side
    61,138.13x = 17,725,910,109.22
  5. Step 5: Solve for x
    x = 17,725,910,109.22/61,138.13
  6. Step 6: Final answer
    x = 289,932.18

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.