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Finding the Third Proportional to 478.88 and 741.63

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Solution

The third proportional to 478.88 and 741.63 is: 1,148.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    478.88 : 741.63 = 741.63 : x
  2. Step 2: Convert to fraction form
    478.88/741.63 = 741.63/x
  3. Step 3: Cross multiply
    478.88x = 741.63 × 741.63
  4. Step 4: Simplify right side
    478.88x = 550,007.64
  5. Step 5: Solve for x
    x = 550,007.64/478.88
  6. Step 6: Final answer
    x = 1,148.54

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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.