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Finding the Third Proportional to 342.93 and 809.21

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Solution

The third proportional to 342.93 and 809.21 is: 1,909.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    342.93 : 809.21 = 809.21 : x
  2. Step 2: Convert to fraction form
    342.93/809.21 = 809.21/x
  3. Step 3: Cross multiply
    342.93x = 809.21 × 809.21
  4. Step 4: Simplify right side
    342.93x = 654,819.18
  5. Step 5: Solve for x
    x = 654,819.18/342.93
  6. Step 6: Final answer
    x = 1,909.47

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Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.