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Finding the Third Proportional to 351.66 and 784.22

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Solution

The third proportional to 351.66 and 784.22 is: 1,748.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    351.66 : 784.22 = 784.22 : x
  2. Step 2: Convert to fraction form
    351.66/784.22 = 784.22/x
  3. Step 3: Cross multiply
    351.66x = 784.22 × 784.22
  4. Step 4: Simplify right side
    351.66x = 614,999.05
  5. Step 5: Solve for x
    x = 614,999.05/351.66
  6. Step 6: Final answer
    x = 1,748.86

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Why These Related Problems?

These problems maintain the same ratio (2.23) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.