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Finding the Third Proportional to 494.75 and 1,056.75

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Solution

The third proportional to 494.75 and 1,056.75 is: 2,257.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    494.75 : 1,056.75 = 1,056.75 : x
  2. Step 2: Convert to fraction form
    494.75/1,056.75 = 1,056.75/x
  3. Step 3: Cross multiply
    494.75x = 1,056.75 × 1,056.75
  4. Step 4: Simplify right side
    494.75x = 1,116,720.56
  5. Step 5: Solve for x
    x = 1,116,720.56/494.75
  6. Step 6: Final answer
    x = 2,257.14

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.