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Finding the Third Proportional to 90.97 and 214.68

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Solution

The third proportional to 90.97 and 214.68 is: 506.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    90.97 : 214.68 = 214.68 : x
  2. Step 2: Convert to fraction form
    90.97/214.68 = 214.68/x
  3. Step 3: Cross multiply
    90.97x = 214.68 × 214.68
  4. Step 4: Simplify right side
    90.97x = 46,088.21
  5. Step 5: Solve for x
    x = 46,088.21/90.97
  6. Step 6: Final answer
    x = 506.65

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Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.