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Finding the Third Proportional to 157,212.50 and 339,321.75

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Solution

The third proportional to 157,212.50 and 339,321.75 is: 732,379.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    157,212.50 : 339,321.75 = 339,321.75 : x
  2. Step 2: Convert to fraction form
    157,212.50/339,321.75 = 339,321.75/x
  3. Step 3: Cross multiply
    157,212.50x = 339,321.75 × 339,321.75
  4. Step 4: Simplify right side
    157,212.50x = 115,139,250,023.06
  5. Step 5: Solve for x
    x = 115,139,250,023.06/157,212.50
  6. Step 6: Final answer
    x = 732,379.74

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.