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Finding the Third Proportional to 649.90 and 1,436.48

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Solution

The third proportional to 649.90 and 1,436.48 is: 3,175.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    649.90 : 1,436.48 = 1,436.48 : x
  2. Step 2: Convert to fraction form
    649.90/1,436.48 = 1,436.48/x
  3. Step 3: Cross multiply
    649.90x = 1,436.48 × 1,436.48
  4. Step 4: Simplify right side
    649.90x = 2,063,487.36
  5. Step 5: Solve for x
    x = 2,063,487.36/649.90
  6. Step 6: Final answer
    x = 3,175.09

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Why These Related Problems?

These problems maintain the same ratio (2.21) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.