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Finding the Third Proportional to 353.81 and 770.91

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Solution

The third proportional to 353.81 and 770.91 is: 1,679.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    353.81 : 770.91 = 770.91 : x
  2. Step 2: Convert to fraction form
    353.81/770.91 = 770.91/x
  3. Step 3: Cross multiply
    353.81x = 770.91 × 770.91
  4. Step 4: Simplify right side
    353.81x = 594,296.45
  5. Step 5: Solve for x
    x = 594,296.45/353.81
  6. Step 6: Final answer
    x = 1,679.69

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.