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Finding the Third Proportional to 20,846 and 45,643

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Solution

The third proportional to 20,846 and 45,643 is: 99,936.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,846 : 45,643 = 45,643 : x
  2. Step 2: Convert to fraction form
    20,846/45,643 = 45,643/x
  3. Step 3: Cross multiply
    20,846x = 45,643 × 45,643
  4. Step 4: Simplify right side
    20,846x = 2,083,283,449
  5. Step 5: Solve for x
    x = 2,083,283,449/20,846
  6. Step 6: Final answer
    x = 99,936.84

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.