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Finding the Third Proportional to 480.54 and 741.10

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Solution

The third proportional to 480.54 and 741.10 is: 1,142.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    480.54 : 741.10 = 741.10 : x
  2. Step 2: Convert to fraction form
    480.54/741.10 = 741.10/x
  3. Step 3: Cross multiply
    480.54x = 741.10 × 741.10
  4. Step 4: Simplify right side
    480.54x = 549,232.97
  5. Step 5: Solve for x
    x = 549,232.97/480.54
  6. Step 6: Final answer
    x = 1,142.94

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.