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Finding the Third Proportional to 261.19 and 403.27

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Solution

The third proportional to 261.19 and 403.27 is: 622.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    261.19 : 403.27 = 403.27 : x
  2. Step 2: Convert to fraction form
    261.19/403.27 = 403.27/x
  3. Step 3: Cross multiply
    261.19x = 403.27 × 403.27
  4. Step 4: Simplify right side
    261.19x = 162,623.16
  5. Step 5: Solve for x
    x = 162,623.16/261.19
  6. Step 6: Final answer
    x = 622.63

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.