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Finding the Third Proportional to 389,866.50 and 853,227.75

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Solution

The third proportional to 389,866.50 and 853,227.75 is: 1,867,299.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    389,866.50 : 853,227.75 = 853,227.75 : x
  2. Step 2: Convert to fraction form
    389,866.50/853,227.75 = 853,227.75/x
  3. Step 3: Cross multiply
    389,866.50x = 853,227.75 × 853,227.75
  4. Step 4: Simplify right side
    389,866.50x = 727,997,593,370.06
  5. Step 5: Solve for x
    x = 727,997,593,370.06/389,866.50
  6. Step 6: Final answer
    x = 1,867,299.69

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.