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Finding the Third Proportional to 216.50 and 431.88

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Solution

The third proportional to 216.50 and 431.88 is: 861.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    216.50 : 431.88 = 431.88 : x
  2. Step 2: Convert to fraction form
    216.50/431.88 = 431.88/x
  3. Step 3: Cross multiply
    216.50x = 431.88 × 431.88
  4. Step 4: Simplify right side
    216.50x = 186,516.02
  5. Step 5: Solve for x
    x = 186,516.02/216.50
  6. Step 6: Final answer
    x = 861.51

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Why These Related Problems?

These problems maintain the same ratio (1.99) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.