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Finding the Third Proportional to 631.44 and 760.56

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Solution

The third proportional to 631.44 and 760.56 is: 916.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    631.44 : 760.56 = 760.56 : x
  2. Step 2: Convert to fraction form
    631.44/760.56 = 760.56/x
  3. Step 3: Cross multiply
    631.44x = 760.56 × 760.56
  4. Step 4: Simplify right side
    631.44x = 578,455.32
  5. Step 5: Solve for x
    x = 578,455.32/631.44
  6. Step 6: Final answer
    x = 916.09

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Why These Related Problems?

These problems maintain the same ratio (1.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.