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Finding the Third Proportional to 240.63 and 447.08

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Solution

The third proportional to 240.63 and 447.08 is: 830.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    240.63 : 447.08 = 447.08 : x
  2. Step 2: Convert to fraction form
    240.63/447.08 = 447.08/x
  3. Step 3: Cross multiply
    240.63x = 447.08 × 447.08
  4. Step 4: Simplify right side
    240.63x = 199,882.34
  5. Step 5: Solve for x
    x = 199,882.34/240.63
  6. Step 6: Final answer
    x = 830.67

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Why These Related Problems?

These problems maintain the same ratio (1.86) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.