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Finding the Third Proportional to 261.68 and 550.29

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Solution

The third proportional to 261.68 and 550.29 is: 1,157.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    261.68 : 550.29 = 550.29 : x
  2. Step 2: Convert to fraction form
    261.68/550.29 = 550.29/x
  3. Step 3: Cross multiply
    261.68x = 550.29 × 550.29
  4. Step 4: Simplify right side
    261.68x = 302,818.05
  5. Step 5: Solve for x
    x = 302,818.05/261.68
  6. Step 6: Final answer
    x = 1,157.21

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Why These Related Problems?

These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.