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Finding the Third Proportional to 330.68 and 713.58

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Solution

The third proportional to 330.68 and 713.58 is: 1,539.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    330.68 : 713.58 = 713.58 : x
  2. Step 2: Convert to fraction form
    330.68/713.58 = 713.58/x
  3. Step 3: Cross multiply
    330.68x = 713.58 × 713.58
  4. Step 4: Simplify right side
    330.68x = 509,189.56
  5. Step 5: Solve for x
    x = 509,189.56/330.68
  6. Step 6: Final answer
    x = 1,539.81

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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.