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Finding the Third Proportional to 339,814.50 and 539,856

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Solution

The third proportional to 339,814.50 and 539,856 is: 857,657.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    339,814.50 : 539,856 = 539,856 : x
  2. Step 2: Convert to fraction form
    339,814.50/539,856 = 539,856/x
  3. Step 3: Cross multiply
    339,814.50x = 539,856 × 539,856
  4. Step 4: Simplify right side
    339,814.50x = 291,444,500,736
  5. Step 5: Solve for x
    x = 291,444,500,736/339,814.50
  6. Step 6: Final answer
    x = 857,657.64

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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.