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Finding the Third Proportional to 209.13 and 458.88

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Solution

The third proportional to 209.13 and 458.88 is: 1,006.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    209.13 : 458.88 = 458.88 : x
  2. Step 2: Convert to fraction form
    209.13/458.88 = 458.88/x
  3. Step 3: Cross multiply
    209.13x = 458.88 × 458.88
  4. Step 4: Simplify right side
    209.13x = 210,566.27
  5. Step 5: Solve for x
    x = 210,566.27/209.13
  6. Step 6: Final answer
    x = 1,006.89

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.