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Finding the Third Proportional to 216.56 and 297.84

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Solution

The third proportional to 216.56 and 297.84 is: 409.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    216.56 : 297.84 = 297.84 : x
  2. Step 2: Convert to fraction form
    216.56/297.84 = 297.84/x
  3. Step 3: Cross multiply
    216.56x = 297.84 × 297.84
  4. Step 4: Simplify right side
    216.56x = 88,710.90
  5. Step 5: Solve for x
    x = 88,710.90/216.56
  6. Step 6: Final answer
    x = 409.63

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.