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Finding the Third Proportional to 271.90 and 645.15

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Solution

The third proportional to 271.90 and 645.15 is: 1,530.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    271.90 : 645.15 = 645.15 : x
  2. Step 2: Convert to fraction form
    271.90/645.15 = 645.15/x
  3. Step 3: Cross multiply
    271.90x = 645.15 × 645.15
  4. Step 4: Simplify right side
    271.90x = 416,221.55
  5. Step 5: Solve for x
    x = 416,221.55/271.90
  6. Step 6: Final answer
    x = 1,530.80

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Why These Related Problems?

These problems maintain the same ratio (2.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.