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Finding the Third Proportional to 133,764.31 and 278,600.31

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Solution

The third proportional to 133,764.31 and 278,600.31 is: 580,260.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    133,764.31 : 278,600.31 = 278,600.31 : x
  2. Step 2: Convert to fraction form
    133,764.31/278,600.31 = 278,600.31/x
  3. Step 3: Cross multiply
    133,764.31x = 278,600.31 × 278,600.31
  4. Step 4: Simplify right side
    133,764.31x = 77,618,134,125.10
  5. Step 5: Solve for x
    x = 77,618,134,125.10/133,764.31
  6. Step 6: Final answer
    x = 580,260.40

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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.