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Finding the Third Proportional to 21,539 and 45,683

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Solution

The third proportional to 21,539 and 45,683 is: 96,891.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,539 : 45,683 = 45,683 : x
  2. Step 2: Convert to fraction form
    21,539/45,683 = 45,683/x
  3. Step 3: Cross multiply
    21,539x = 45,683 × 45,683
  4. Step 4: Simplify right side
    21,539x = 2,086,936,489
  5. Step 5: Solve for x
    x = 2,086,936,489/21,539
  6. Step 6: Final answer
    x = 96,891.06

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.