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Finding the Third Proportional to 345.28 and 720.22

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Solution

The third proportional to 345.28 and 720.22 is: 1,502.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    345.28 : 720.22 = 720.22 : x
  2. Step 2: Convert to fraction form
    345.28/720.22 = 720.22/x
  3. Step 3: Cross multiply
    345.28x = 720.22 × 720.22
  4. Step 4: Simplify right side
    345.28x = 518,716.45
  5. Step 5: Solve for x
    x = 518,716.45/345.28
  6. Step 6: Final answer
    x = 1,502.31

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Why These Related Problems?

These problems maintain the same ratio (2.09) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.