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Finding the Third Proportional to 260.56 and 382.30

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Solution

The third proportional to 260.56 and 382.30 is: 560.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    260.56 : 382.30 = 382.30 : x
  2. Step 2: Convert to fraction form
    260.56/382.30 = 382.30/x
  3. Step 3: Cross multiply
    260.56x = 382.30 × 382.30
  4. Step 4: Simplify right side
    260.56x = 146,151.65
  5. Step 5: Solve for x
    x = 146,151.65/260.56
  6. Step 6: Final answer
    x = 560.91

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.