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Finding the Third Proportional to 305.06 and 374.06

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Solution

The third proportional to 305.06 and 374.06 is: 458.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    305.06 : 374.06 = 374.06 : x
  2. Step 2: Convert to fraction form
    305.06/374.06 = 374.06/x
  3. Step 3: Cross multiply
    305.06x = 374.06 × 374.06
  4. Step 4: Simplify right side
    305.06x = 139,922.75
  5. Step 5: Solve for x
    x = 139,922.75/305.06
  6. Step 6: Final answer
    x = 458.67

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Why These Related Problems?

These problems maintain the same ratio (1.23) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.