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Finding the Third Proportional to 180.59 and 277.64

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Solution

The third proportional to 180.59 and 277.64 is: 426.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    180.59 : 277.64 = 277.64 : x
  2. Step 2: Convert to fraction form
    180.59/277.64 = 277.64/x
  3. Step 3: Cross multiply
    180.59x = 277.64 × 277.64
  4. Step 4: Simplify right side
    180.59x = 77,084.32
  5. Step 5: Solve for x
    x = 77,084.32/180.59
  6. Step 6: Final answer
    x = 426.84

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.