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Finding the Third Proportional to 129,768.96 and 277,990.73

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Solution

The third proportional to 129,768.96 and 277,990.73 is: 595,511.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    129,768.96 : 277,990.73 = 277,990.73 : x
  2. Step 2: Convert to fraction form
    129,768.96/277,990.73 = 277,990.73/x
  3. Step 3: Cross multiply
    129,768.96x = 277,990.73 × 277,990.73
  4. Step 4: Simplify right side
    129,768.96x = 77,278,848,398.35
  5. Step 5: Solve for x
    x = 77,278,848,398.35/129,768.96
  6. Step 6: Final answer
    x = 595,511.04

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.