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Finding the Third Proportional to 360.84 and 764.86

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Solution

The third proportional to 360.84 and 764.86 is: 1,621.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    360.84 : 764.86 = 764.86 : x
  2. Step 2: Convert to fraction form
    360.84/764.86 = 764.86/x
  3. Step 3: Cross multiply
    360.84x = 764.86 × 764.86
  4. Step 4: Simplify right side
    360.84x = 585,009.86
  5. Step 5: Solve for x
    x = 585,009.86/360.84
  6. Step 6: Final answer
    x = 1,621.23

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.