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Finding the Third Proportional to 90.42 and 224.93

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Solution

The third proportional to 90.42 and 224.93 is: 559.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    90.42 : 224.93 = 224.93 : x
  2. Step 2: Convert to fraction form
    90.42/224.93 = 224.93/x
  3. Step 3: Cross multiply
    90.42x = 224.93 × 224.93
  4. Step 4: Simplify right side
    90.42x = 50,593.36
  5. Step 5: Solve for x
    x = 50,593.36/90.42
  6. Step 6: Final answer
    x = 559.53

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Why These Related Problems?

These problems maintain the same ratio (2.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.