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Finding the Third Proportional to 380,511.50 and 819,889

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Solution

The third proportional to 380,511.50 and 819,889 is: 1,766,616.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    380,511.50 : 819,889 = 819,889 : x
  2. Step 2: Convert to fraction form
    380,511.50/819,889 = 819,889/x
  3. Step 3: Cross multiply
    380,511.50x = 819,889 × 819,889
  4. Step 4: Simplify right side
    380,511.50x = 672,217,972,321
  5. Step 5: Solve for x
    x = 672,217,972,321/380,511.50
  6. Step 6: Final answer
    x = 1,766,616.70

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.