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Finding the Third Proportional to 81.94 and 214.78

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Solution

The third proportional to 81.94 and 214.78 is: 563.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    81.94 : 214.78 = 214.78 : x
  2. Step 2: Convert to fraction form
    81.94/214.78 = 214.78/x
  3. Step 3: Cross multiply
    81.94x = 214.78 × 214.78
  4. Step 4: Simplify right side
    81.94x = 46,130.99
  5. Step 5: Solve for x
    x = 46,130.99/81.94
  6. Step 6: Final answer
    x = 563.00

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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.