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Finding the Third Proportional to 251.72 and 455.06

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Solution

The third proportional to 251.72 and 455.06 is: 822.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    251.72 : 455.06 = 455.06 : x
  2. Step 2: Convert to fraction form
    251.72/455.06 = 455.06/x
  3. Step 3: Cross multiply
    251.72x = 455.06 × 455.06
  4. Step 4: Simplify right side
    251.72x = 207,081.88
  5. Step 5: Solve for x
    x = 207,081.88/251.72
  6. Step 6: Final answer
    x = 822.67

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Why These Related Problems?

These problems maintain the same ratio (1.81) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.