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Finding the Third Proportional to 720.09 and 1,553.81

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Solution

The third proportional to 720.09 and 1,553.81 is: 3,352.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    720.09 : 1,553.81 = 1,553.81 : x
  2. Step 2: Convert to fraction form
    720.09/1,553.81 = 1,553.81/x
  3. Step 3: Cross multiply
    720.09x = 1,553.81 × 1,553.81
  4. Step 4: Simplify right side
    720.09x = 2,414,333.29
  5. Step 5: Solve for x
    x = 2,414,333.29/720.09
  6. Step 6: Final answer
    x = 3,352.80

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.