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Finding the Third Proportional to 21,468.25 and 43,543

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Solution

The third proportional to 21,468.25 and 43,543 is: 88,316.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,468.25 : 43,543 = 43,543 : x
  2. Step 2: Convert to fraction form
    21,468.25/43,543 = 43,543/x
  3. Step 3: Cross multiply
    21,468.25x = 43,543 × 43,543
  4. Step 4: Simplify right side
    21,468.25x = 1,895,992,849
  5. Step 5: Solve for x
    x = 1,895,992,849/21,468.25
  6. Step 6: Final answer
    x = 88,316.13

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Why These Related Problems?

These problems maintain the same ratio (2.03) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.