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Finding the Third Proportional to 444.66 and 931.78

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Solution

The third proportional to 444.66 and 931.78 is: 1,952.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    444.66 : 931.78 = 931.78 : x
  2. Step 2: Convert to fraction form
    444.66/931.78 = 931.78/x
  3. Step 3: Cross multiply
    444.66x = 931.78 × 931.78
  4. Step 4: Simplify right side
    444.66x = 868,216.30
  5. Step 5: Solve for x
    x = 868,216.30/444.66
  6. Step 6: Final answer
    x = 1,952.56

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Why These Related Problems?

These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.