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Finding the Third Proportional to 20,739 and 46,947

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Solution

The third proportional to 20,739 and 46,947 is: 106,274.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,739 : 46,947 = 46,947 : x
  2. Step 2: Convert to fraction form
    20,739/46,947 = 46,947/x
  3. Step 3: Cross multiply
    20,739x = 46,947 × 46,947
  4. Step 4: Simplify right side
    20,739x = 2,204,020,809
  5. Step 5: Solve for x
    x = 2,204,020,809/20,739
  6. Step 6: Final answer
    x = 106,274.21

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Why These Related Problems?

These problems maintain the same ratio (2.26) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.