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Finding the Third Proportional to 364.64 and 764.86

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Solution

The third proportional to 364.64 and 764.86 is: 1,604.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    364.64 : 764.86 = 764.86 : x
  2. Step 2: Convert to fraction form
    364.64/764.86 = 764.86/x
  3. Step 3: Cross multiply
    364.64x = 764.86 × 764.86
  4. Step 4: Simplify right side
    364.64x = 585,009.86
  5. Step 5: Solve for x
    x = 585,009.86/364.64
  6. Step 6: Final answer
    x = 1,604.35

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Why These Related Problems?

These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.