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Finding the Third Proportional to 20,689 and 44,659

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Solution

The third proportional to 20,689 and 44,659 is: 96,400.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,689 : 44,659 = 44,659 : x
  2. Step 2: Convert to fraction form
    20,689/44,659 = 44,659/x
  3. Step 3: Cross multiply
    20,689x = 44,659 × 44,659
  4. Step 4: Simplify right side
    20,689x = 1,994,426,281
  5. Step 5: Solve for x
    x = 1,994,426,281/20,689
  6. Step 6: Final answer
    x = 96,400.32

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.