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Finding the Third Proportional to 576.75 and 1,032.56

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Solution

The third proportional to 576.75 and 1,032.56 is: 1,848.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    576.75 : 1,032.56 = 1,032.56 : x
  2. Step 2: Convert to fraction form
    576.75/1,032.56 = 1,032.56/x
  3. Step 3: Cross multiply
    576.75x = 1,032.56 × 1,032.56
  4. Step 4: Simplify right side
    576.75x = 1,066,185.32
  5. Step 5: Solve for x
    x = 1,066,185.32/576.75
  6. Step 6: Final answer
    x = 1,848.61

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Why These Related Problems?

These problems maintain the same ratio (1.79) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.