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Finding the Third Proportional to 131.06 and 270.98

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Solution

The third proportional to 131.06 and 270.98 is: 560.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    131.06 : 270.98 = 270.98 : x
  2. Step 2: Convert to fraction form
    131.06/270.98 = 270.98/x
  3. Step 3: Cross multiply
    131.06x = 270.98 × 270.98
  4. Step 4: Simplify right side
    131.06x = 73,432.53
  5. Step 5: Solve for x
    x = 73,432.53/131.06
  6. Step 6: Final answer
    x = 560.29

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Why These Related Problems?

These problems maintain the same ratio (2.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.