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Finding the Third Proportional to 662.44 and 1,440.47

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Solution

The third proportional to 662.44 and 1,440.47 is: 3,132.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    662.44 : 1,440.47 = 1,440.47 : x
  2. Step 2: Convert to fraction form
    662.44/1,440.47 = 1,440.47/x
  3. Step 3: Cross multiply
    662.44x = 1,440.47 × 1,440.47
  4. Step 4: Simplify right side
    662.44x = 2,074,950.22
  5. Step 5: Solve for x
    x = 2,074,950.22/662.44
  6. Step 6: Final answer
    x = 3,132.30

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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.