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Finding the Third Proportional to 126.70 and 181.20

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Solution

The third proportional to 126.70 and 181.20 is: 259.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    126.70 : 181.20 = 181.20 : x
  2. Step 2: Convert to fraction form
    126.70/181.20 = 181.20/x
  3. Step 3: Cross multiply
    126.70x = 181.20 × 181.20
  4. Step 4: Simplify right side
    126.70x = 32,831.74
  5. Step 5: Solve for x
    x = 32,831.74/126.70
  6. Step 6: Final answer
    x = 259.12

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.