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Finding the Third Proportional to 456.19 and 1,014.38

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Solution

The third proportional to 456.19 and 1,014.38 is: 2,255.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    456.19 : 1,014.38 = 1,014.38 : x
  2. Step 2: Convert to fraction form
    456.19/1,014.38 = 1,014.38/x
  3. Step 3: Cross multiply
    456.19x = 1,014.38 × 1,014.38
  4. Step 4: Simplify right side
    456.19x = 1,028,956.64
  5. Step 5: Solve for x
    x = 1,028,956.64/456.19
  6. Step 6: Final answer
    x = 2,255.56

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Why These Related Problems?

These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.