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Finding the Third Proportional to 933.19 and 1,764.56

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Solution

The third proportional to 933.19 and 1,764.56 is: 3,336.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    933.19 : 1,764.56 = 1,764.56 : x
  2. Step 2: Convert to fraction form
    933.19/1,764.56 = 1,764.56/x
  3. Step 3: Cross multiply
    933.19x = 1,764.56 × 1,764.56
  4. Step 4: Simplify right side
    933.19x = 3,113,680.82
  5. Step 5: Solve for x
    x = 3,113,680.82/933.19
  6. Step 6: Final answer
    x = 3,336.61

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Why These Related Problems?

These problems maintain the same ratio (1.89) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.