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Finding the Third Proportional to 277.25 and 415.84

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Solution

The third proportional to 277.25 and 415.84 is: 623.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    277.25 : 415.84 = 415.84 : x
  2. Step 2: Convert to fraction form
    277.25/415.84 = 415.84/x
  3. Step 3: Cross multiply
    277.25x = 415.84 × 415.84
  4. Step 4: Simplify right side
    277.25x = 172,926.02
  5. Step 5: Solve for x
    x = 172,926.02/277.25
  6. Step 6: Final answer
    x = 623.72

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.