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Finding the Third Proportional to 131.06 and 281.53

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Solution

The third proportional to 131.06 and 281.53 is: 604.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    131.06 : 281.53 = 281.53 : x
  2. Step 2: Convert to fraction form
    131.06/281.53 = 281.53/x
  3. Step 3: Cross multiply
    131.06x = 281.53 × 281.53
  4. Step 4: Simplify right side
    131.06x = 79,259.84
  5. Step 5: Solve for x
    x = 79,259.84/131.06
  6. Step 6: Final answer
    x = 604.75

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.