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Finding the Third Proportional to 736.25 and 1,600.31

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Solution

The third proportional to 736.25 and 1,600.31 is: 3,478.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    736.25 : 1,600.31 = 1,600.31 : x
  2. Step 2: Convert to fraction form
    736.25/1,600.31 = 1,600.31/x
  3. Step 3: Cross multiply
    736.25x = 1,600.31 × 1,600.31
  4. Step 4: Simplify right side
    736.25x = 2,561,000.10
  5. Step 5: Solve for x
    x = 2,561,000.10/736.25
  6. Step 6: Final answer
    x = 3,478.44

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.