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Finding the Third Proportional to 157.77 and 225.83

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Solution

The third proportional to 157.77 and 225.83 is: 323.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    157.77 : 225.83 = 225.83 : x
  2. Step 2: Convert to fraction form
    157.77/225.83 = 225.83/x
  3. Step 3: Cross multiply
    157.77x = 225.83 × 225.83
  4. Step 4: Simplify right side
    157.77x = 51,001.43
  5. Step 5: Solve for x
    x = 51,001.43/157.77
  6. Step 6: Final answer
    x = 323.27

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.