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Finding the Third Proportional to 172,309.50 and 264,786.75

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Solution

The third proportional to 172,309.50 and 264,786.75 is: 406,895.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    172,309.50 : 264,786.75 = 264,786.75 : x
  2. Step 2: Convert to fraction form
    172,309.50/264,786.75 = 264,786.75/x
  3. Step 3: Cross multiply
    172,309.50x = 264,786.75 × 264,786.75
  4. Step 4: Simplify right side
    172,309.50x = 70,112,022,975.56
  5. Step 5: Solve for x
    x = 70,112,022,975.56/172,309.50
  6. Step 6: Final answer
    x = 406,895.86

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.