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Finding the Third Proportional to 720.38 and 1,644.94

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Solution

The third proportional to 720.38 and 1,644.94 is: 3,756.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    720.38 : 1,644.94 = 1,644.94 : x
  2. Step 2: Convert to fraction form
    720.38/1,644.94 = 1,644.94/x
  3. Step 3: Cross multiply
    720.38x = 1,644.94 × 1,644.94
  4. Step 4: Simplify right side
    720.38x = 2,705,819.38
  5. Step 5: Solve for x
    x = 2,705,819.38/720.38
  6. Step 6: Final answer
    x = 3,756.13

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Why These Related Problems?

These problems maintain the same ratio (2.28) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.