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Finding the Third Proportional to 209.77 and 458.48

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Solution

The third proportional to 209.77 and 458.48 is: 1,002.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    209.77 : 458.48 = 458.48 : x
  2. Step 2: Convert to fraction form
    209.77/458.48 = 458.48/x
  3. Step 3: Cross multiply
    209.77x = 458.48 × 458.48
  4. Step 4: Simplify right side
    209.77x = 210,207.92
  5. Step 5: Solve for x
    x = 210,207.92/209.77
  6. Step 6: Final answer
    x = 1,002.11

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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.