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Finding the Third Proportional to 251.72 and 403.69

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Solution

The third proportional to 251.72 and 403.69 is: 647.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    251.72 : 403.69 = 403.69 : x
  2. Step 2: Convert to fraction form
    251.72/403.69 = 403.69/x
  3. Step 3: Cross multiply
    251.72x = 403.69 × 403.69
  4. Step 4: Simplify right side
    251.72x = 162,963.60
  5. Step 5: Solve for x
    x = 162,963.60/251.72
  6. Step 6: Final answer
    x = 647.40

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Why These Related Problems?

These problems maintain the same ratio (1.60) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.