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Finding the Third Proportional to 291.66 and 351.56

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Solution

The third proportional to 291.66 and 351.56 is: 423.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    291.66 : 351.56 = 351.56 : x
  2. Step 2: Convert to fraction form
    291.66/351.56 = 351.56/x
  3. Step 3: Cross multiply
    291.66x = 351.56 × 351.56
  4. Step 4: Simplify right side
    291.66x = 123,596.19
  5. Step 5: Solve for x
    x = 123,596.19/291.66
  6. Step 6: Final answer
    x = 423.77

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Why These Related Problems?

These problems maintain the same ratio (1.21) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.