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Finding the Third Proportional to 506.96 and 1,089.86

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Solution

The third proportional to 506.96 and 1,089.86 is: 2,342.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    506.96 : 1,089.86 = 1,089.86 : x
  2. Step 2: Convert to fraction form
    506.96/1,089.86 = 1,089.86/x
  3. Step 3: Cross multiply
    506.96x = 1,089.86 × 1,089.86
  4. Step 4: Simplify right side
    506.96x = 1,187,797.71
  5. Step 5: Solve for x
    x = 1,187,797.71/506.96
  6. Step 6: Final answer
    x = 2,342.97

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.