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Finding the Third Proportional to 157,440.38 and 339,747.75

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Solution

The third proportional to 157,440.38 and 339,747.75 is: 733,157.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    157,440.38 : 339,747.75 = 339,747.75 : x
  2. Step 2: Convert to fraction form
    157,440.38/339,747.75 = 339,747.75/x
  3. Step 3: Cross multiply
    157,440.38x = 339,747.75 × 339,747.75
  4. Step 4: Simplify right side
    157,440.38x = 115,428,533,630.06
  5. Step 5: Solve for x
    x = 115,428,533,630.06/157,440.38
  6. Step 6: Final answer
    x = 733,157.13

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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.