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Finding the Third Proportional to 260.32 and 549.91

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Solution

The third proportional to 260.32 and 549.91 is: 1,161.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    260.32 : 549.91 = 549.91 : x
  2. Step 2: Convert to fraction form
    260.32/549.91 = 549.91/x
  3. Step 3: Cross multiply
    260.32x = 549.91 × 549.91
  4. Step 4: Simplify right side
    260.32x = 302,405.48
  5. Step 5: Solve for x
    x = 302,405.48/260.32
  6. Step 6: Final answer
    x = 1,161.65

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.