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Finding the Third Proportional to 329.96 and 710.70

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Solution

The third proportional to 329.96 and 710.70 is: 1,530.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    329.96 : 710.70 = 710.70 : x
  2. Step 2: Convert to fraction form
    329.96/710.70 = 710.70/x
  3. Step 3: Cross multiply
    329.96x = 710.70 × 710.70
  4. Step 4: Simplify right side
    329.96x = 505,096.16
  5. Step 5: Solve for x
    x = 505,096.16/329.96
  6. Step 6: Final answer
    x = 1,530.78

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.