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Finding the Third Proportional to 127,212.75 and 172,764.75

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Solution

The third proportional to 127,212.75 and 172,764.75 is: 234,627.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    127,212.75 : 172,764.75 = 172,764.75 : x
  2. Step 2: Convert to fraction form
    127,212.75/172,764.75 = 172,764.75/x
  3. Step 3: Cross multiply
    127,212.75x = 172,764.75 × 172,764.75
  4. Step 4: Simplify right side
    127,212.75x = 29,847,658,842.56
  5. Step 5: Solve for x
    x = 29,847,658,842.56/127,212.75
  6. Step 6: Final answer
    x = 234,627.89

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Why These Related Problems?

These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.