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Finding the Third Proportional to 480.63 and 722.88

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Solution

The third proportional to 480.63 and 722.88 is: 1,087.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    480.63 : 722.88 = 722.88 : x
  2. Step 2: Convert to fraction form
    480.63/722.88 = 722.88/x
  3. Step 3: Cross multiply
    480.63x = 722.88 × 722.88
  4. Step 4: Simplify right side
    480.63x = 522,548.27
  5. Step 5: Solve for x
    x = 522,548.27/480.63
  6. Step 6: Final answer
    x = 1,087.23

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.