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Finding the Third Proportional to 427.22 and 720.84

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Solution

The third proportional to 427.22 and 720.84 is: 1,216.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    427.22 : 720.84 = 720.84 : x
  2. Step 2: Convert to fraction form
    427.22/720.84 = 720.84/x
  3. Step 3: Cross multiply
    427.22x = 720.84 × 720.84
  4. Step 4: Simplify right side
    427.22x = 519,615.71
  5. Step 5: Solve for x
    x = 519,615.71/427.22
  6. Step 6: Final answer
    x = 1,216.28

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Why These Related Problems?

These problems maintain the same ratio (1.69) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.