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Finding the Third Proportional to 180.42 and 256.36

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Solution

The third proportional to 180.42 and 256.36 is: 364.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    180.42 : 256.36 = 256.36 : x
  2. Step 2: Convert to fraction form
    180.42/256.36 = 256.36/x
  3. Step 3: Cross multiply
    180.42x = 256.36 × 256.36
  4. Step 4: Simplify right side
    180.42x = 65,720.13
  5. Step 5: Solve for x
    x = 65,720.13/180.42
  6. Step 6: Final answer
    x = 364.26

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Why These Related Problems?

These problems maintain the same ratio (1.42) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.