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Finding the Third Proportional to 339,138.75 and 539,844

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Solution

The third proportional to 339,138.75 and 539,844 is: 859,328.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    339,138.75 : 539,844 = 539,844 : x
  2. Step 2: Convert to fraction form
    339,138.75/539,844 = 539,844/x
  3. Step 3: Cross multiply
    339,138.75x = 539,844 × 539,844
  4. Step 4: Simplify right side
    339,138.75x = 291,431,544,336
  5. Step 5: Solve for x
    x = 291,431,544,336/339,138.75
  6. Step 6: Final answer
    x = 859,328.36

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.