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Finding the Third Proportional to 330.19 and 744.19

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Solution

The third proportional to 330.19 and 744.19 is: 1,677.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    330.19 : 744.19 = 744.19 : x
  2. Step 2: Convert to fraction form
    330.19/744.19 = 744.19/x
  3. Step 3: Cross multiply
    330.19x = 744.19 × 744.19
  4. Step 4: Simplify right side
    330.19x = 553,815.04
  5. Step 5: Solve for x
    x = 553,815.04/330.19
  6. Step 6: Final answer
    x = 1,677.27

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Why These Related Problems?

These problems maintain the same ratio (2.25) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.