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Finding the Third Proportional to 271.75 and 630.25

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Solution

The third proportional to 271.75 and 630.25 is: 1,461.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    271.75 : 630.25 = 630.25 : x
  2. Step 2: Convert to fraction form
    271.75/630.25 = 630.25/x
  3. Step 3: Cross multiply
    271.75x = 630.25 × 630.25
  4. Step 4: Simplify right side
    271.75x = 397,215.06
  5. Step 5: Solve for x
    x = 397,215.06/271.75
  6. Step 6: Final answer
    x = 1,461.69

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Why These Related Problems?

These problems maintain the same ratio (2.32) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.