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Finding the Third Proportional to 458.00 and 809.21

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Solution

The third proportional to 458.00 and 809.21 is: 1,429.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    458.00 : 809.21 = 809.21 : x
  2. Step 2: Convert to fraction form
    458.00/809.21 = 809.21/x
  3. Step 3: Cross multiply
    458.00x = 809.21 × 809.21
  4. Step 4: Simplify right side
    458.00x = 654,819.18
  5. Step 5: Solve for x
    x = 654,819.18/458.00
  6. Step 6: Final answer
    x = 1,429.74

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Why These Related Problems?

These problems maintain the same ratio (1.77) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.