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Finding the Third Proportional to 20,866 and 45,272

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Solution

The third proportional to 20,866 and 45,272 is: 98,224.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,866 : 45,272 = 45,272 : x
  2. Step 2: Convert to fraction form
    20,866/45,272 = 45,272/x
  3. Step 3: Cross multiply
    20,866x = 45,272 × 45,272
  4. Step 4: Simplify right side
    20,866x = 2,049,553,984
  5. Step 5: Solve for x
    x = 2,049,553,984/20,866
  6. Step 6: Final answer
    x = 98,224.58

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.