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Finding the Third Proportional to 21,790 and 46,742

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Solution

The third proportional to 21,790 and 46,742 is: 100,266.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,790 : 46,742 = 46,742 : x
  2. Step 2: Convert to fraction form
    21,790/46,742 = 46,742/x
  3. Step 3: Cross multiply
    21,790x = 46,742 × 46,742
  4. Step 4: Simplify right side
    21,790x = 2,184,814,564
  5. Step 5: Solve for x
    x = 2,184,814,564/21,790
  6. Step 6: Final answer
    x = 100,266.85

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.