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Finding the Third Proportional to 159,576 and 339,888

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Solution

The third proportional to 159,576 and 339,888 is: 723,942.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    159,576 : 339,888 = 339,888 : x
  2. Step 2: Convert to fraction form
    159,576/339,888 = 339,888/x
  3. Step 3: Cross multiply
    159,576x = 339,888 × 339,888
  4. Step 4: Simplify right side
    159,576x = 115,523,852,544
  5. Step 5: Solve for x
    x = 115,523,852,544/159,576
  6. Step 6: Final answer
    x = 723,942.53

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.