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Finding the Third Proportional to 7,940 and 12,742

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Solution

The third proportional to 7,940 and 12,742 is: 20,448.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,940 : 12,742 = 12,742 : x
  2. Step 2: Convert to fraction form
    7,940/12,742 = 12,742/x
  3. Step 3: Cross multiply
    7,940x = 12,742 × 12,742
  4. Step 4: Simplify right side
    7,940x = 162,358,564
  5. Step 5: Solve for x
    x = 162,358,564/7,940
  6. Step 6: Final answer
    x = 20,448.18

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Why These Related Problems?

These problems maintain the same ratio (1.60) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.