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Finding the Third Proportional to 133,768.13 and 278,584.31

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Solution

The third proportional to 133,768.13 and 278,584.31 is: 580,177.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    133,768.13 : 278,584.31 = 278,584.31 : x
  2. Step 2: Convert to fraction form
    133,768.13/278,584.31 = 278,584.31/x
  3. Step 3: Cross multiply
    133,768.13x = 278,584.31 × 278,584.31
  4. Step 4: Simplify right side
    133,768.13x = 77,609,219,171.10
  5. Step 5: Solve for x
    x = 77,609,219,171.10/133,768.13
  6. Step 6: Final answer
    x = 580,177.22

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.