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Finding the Third Proportional to 21,216.75 and 45,879

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Solution

The third proportional to 21,216.75 and 45,879 is: 99,208.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,216.75 : 45,879 = 45,879 : x
  2. Step 2: Convert to fraction form
    21,216.75/45,879 = 45,879/x
  3. Step 3: Cross multiply
    21,216.75x = 45,879 × 45,879
  4. Step 4: Simplify right side
    21,216.75x = 2,104,882,641
  5. Step 5: Solve for x
    x = 2,104,882,641/21,216.75
  6. Step 6: Final answer
    x = 99,208.53

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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.