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Finding the Third Proportional to 748.13 and 1,621.88

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Solution

The third proportional to 748.13 and 1,621.88 is: 3,516.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    748.13 : 1,621.88 = 1,621.88 : x
  2. Step 2: Convert to fraction form
    748.13/1,621.88 = 1,621.88/x
  3. Step 3: Cross multiply
    748.13x = 1,621.88 × 1,621.88
  4. Step 4: Simplify right side
    748.13x = 2,630,478.52
  5. Step 5: Solve for x
    x = 2,630,478.52/748.13
  6. Step 6: Final answer
    x = 3,516.09

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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.