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Finding the Third Proportional to 329.70 and 720.14

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Solution

The third proportional to 329.70 and 720.14 is: 1,572.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    329.70 : 720.14 = 720.14 : x
  2. Step 2: Convert to fraction form
    329.70/720.14 = 720.14/x
  3. Step 3: Cross multiply
    329.70x = 720.14 × 720.14
  4. Step 4: Simplify right side
    329.70x = 518,602.52
  5. Step 5: Solve for x
    x = 518,602.52/329.70
  6. Step 6: Final answer
    x = 1,572.98

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.