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Finding the Third Proportional to 480.13 and 743.13

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Solution

The third proportional to 480.13 and 743.13 is: 1,150.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    480.13 : 743.13 = 743.13 : x
  2. Step 2: Convert to fraction form
    480.13/743.13 = 743.13/x
  3. Step 3: Cross multiply
    480.13x = 743.13 × 743.13
  4. Step 4: Simplify right side
    480.13x = 552,234.77
  5. Step 5: Solve for x
    x = 552,234.77/480.13
  6. Step 6: Final answer
    x = 1,150.19

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.