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Finding the Third Proportional to 245.44 and 457.56

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Solution

The third proportional to 245.44 and 457.56 is: 853.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    245.44 : 457.56 = 457.56 : x
  2. Step 2: Convert to fraction form
    245.44/457.56 = 457.56/x
  3. Step 3: Cross multiply
    245.44x = 457.56 × 457.56
  4. Step 4: Simplify right side
    245.44x = 209,363.44
  5. Step 5: Solve for x
    x = 209,363.44/245.44
  6. Step 6: Final answer
    x = 853.02

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Why These Related Problems?

These problems maintain the same ratio (1.86) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.