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Finding the Third Proportional to 153.06 and 360.23

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Solution

The third proportional to 153.06 and 360.23 is: 847.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    153.06 : 360.23 = 360.23 : x
  2. Step 2: Convert to fraction form
    153.06/360.23 = 360.23/x
  3. Step 3: Cross multiply
    153.06x = 360.23 × 360.23
  4. Step 4: Simplify right side
    153.06x = 129,764.58
  5. Step 5: Solve for x
    x = 129,764.58/153.06
  6. Step 6: Final answer
    x = 847.79

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Why These Related Problems?

These problems maintain the same ratio (2.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.