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Finding the Third Proportional to 335.81 and 773.30

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Solution

The third proportional to 335.81 and 773.30 is: 1,780.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    335.81 : 773.30 = 773.30 : x
  2. Step 2: Convert to fraction form
    335.81/773.30 = 773.30/x
  3. Step 3: Cross multiply
    335.81x = 773.30 × 773.30
  4. Step 4: Simplify right side
    335.81x = 597,988.06
  5. Step 5: Solve for x
    x = 597,988.06/335.81
  6. Step 6: Final answer
    x = 1,780.72

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Why These Related Problems?

These problems maintain the same ratio (2.30) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.