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Finding the Third Proportional to 209.16 and 450.66

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Solution

The third proportional to 209.16 and 450.66 is: 971.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    209.16 : 450.66 = 450.66 : x
  2. Step 2: Convert to fraction form
    209.16/450.66 = 450.66/x
  3. Step 3: Cross multiply
    209.16x = 450.66 × 450.66
  4. Step 4: Simplify right side
    209.16x = 203,091.06
  5. Step 5: Solve for x
    x = 203,091.06/209.16
  6. Step 6: Final answer
    x = 971.00

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.