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Finding the Third Proportional to 277.69 and 422.53

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Solution

The third proportional to 277.69 and 422.53 is: 642.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    277.69 : 422.53 = 422.53 : x
  2. Step 2: Convert to fraction form
    277.69/422.53 = 422.53/x
  3. Step 3: Cross multiply
    277.69x = 422.53 × 422.53
  4. Step 4: Simplify right side
    277.69x = 178,532.66
  5. Step 5: Solve for x
    x = 178,532.66/277.69
  6. Step 6: Final answer
    x = 642.93

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.