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Finding the Third Proportional to 21,679 and 46,582

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Solution

The third proportional to 21,679 and 46,582 is: 100,091.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,679 : 46,582 = 46,582 : x
  2. Step 2: Convert to fraction form
    21,679/46,582 = 46,582/x
  3. Step 3: Cross multiply
    21,679x = 46,582 × 46,582
  4. Step 4: Simplify right side
    21,679x = 2,169,882,724
  5. Step 5: Solve for x
    x = 2,169,882,724/21,679
  6. Step 6: Final answer
    x = 100,091.46

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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.