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Finding the Third Proportional to 481.36 and 631.76

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Solution

The third proportional to 481.36 and 631.76 is: 829.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    481.36 : 631.76 = 631.76 : x
  2. Step 2: Convert to fraction form
    481.36/631.76 = 631.76/x
  3. Step 3: Cross multiply
    481.36x = 631.76 × 631.76
  4. Step 4: Simplify right side
    481.36x = 399,117.93
  5. Step 5: Solve for x
    x = 399,117.93/481.36
  6. Step 6: Final answer
    x = 829.15

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Why These Related Problems?

These problems maintain the same ratio (1.31) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.