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Finding the Third Proportional to 90.75 and 237.63

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Solution

The third proportional to 90.75 and 237.63 is: 622.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    90.75 : 237.63 = 237.63 : x
  2. Step 2: Convert to fraction form
    90.75/237.63 = 237.63/x
  3. Step 3: Cross multiply
    90.75x = 237.63 × 237.63
  4. Step 4: Simplify right side
    90.75x = 56,465.64
  5. Step 5: Solve for x
    x = 56,465.64/90.75
  6. Step 6: Final answer
    x = 622.21

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Why These Related Problems?

These problems maintain the same ratio (2.62) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.