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Finding the Third Proportional to 244.13 and 383.67

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Solution

The third proportional to 244.13 and 383.67 is: 602.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    244.13 : 383.67 = 383.67 : x
  2. Step 2: Convert to fraction form
    244.13/383.67 = 383.67/x
  3. Step 3: Cross multiply
    244.13x = 383.67 × 383.67
  4. Step 4: Simplify right side
    244.13x = 147,204.11
  5. Step 5: Solve for x
    x = 147,204.11/244.13
  6. Step 6: Final answer
    x = 602.99

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.