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Finding the Third Proportional to 196,789.50 and 309,374.44

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Solution

The third proportional to 196,789.50 and 309,374.44 is: 486,370.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    196,789.50 : 309,374.44 = 309,374.44 : x
  2. Step 2: Convert to fraction form
    196,789.50/309,374.44 = 309,374.44/x
  3. Step 3: Cross multiply
    196,789.50x = 309,374.44 × 309,374.44
  4. Step 4: Simplify right side
    196,789.50x = 95,712,542,578.44
  5. Step 5: Solve for x
    x = 95,712,542,578.44/196,789.50
  6. Step 6: Final answer
    x = 486,370.17

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.