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Finding the Third Proportional to 343,910.25 and 386,556.75

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Solution

The third proportional to 343,910.25 and 386,556.75 is: 434,491.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    343,910.25 : 386,556.75 = 386,556.75 : x
  2. Step 2: Convert to fraction form
    343,910.25/386,556.75 = 386,556.75/x
  3. Step 3: Cross multiply
    343,910.25x = 386,556.75 × 386,556.75
  4. Step 4: Simplify right side
    343,910.25x = 149,426,120,970.56
  5. Step 5: Solve for x
    x = 149,426,120,970.56/343,910.25
  6. Step 6: Final answer
    x = 434,491.62

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Why These Related Problems?

These problems maintain the same ratio (1.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.