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Finding the Third Proportional to 261.84 and 363.09

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Solution

The third proportional to 261.84 and 363.09 is: 503.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    261.84 : 363.09 = 363.09 : x
  2. Step 2: Convert to fraction form
    261.84/363.09 = 363.09/x
  3. Step 3: Cross multiply
    261.84x = 363.09 × 363.09
  4. Step 4: Simplify right side
    261.84x = 131,837.07
  5. Step 5: Solve for x
    x = 131,837.07/261.84
  6. Step 6: Final answer
    x = 503.50

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Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.