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Finding the Third Proportional to 10,272 and 21,029

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Solution

The third proportional to 10,272 and 21,029 is: 43,050.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,272 : 21,029 = 21,029 : x
  2. Step 2: Convert to fraction form
    10,272/21,029 = 21,029/x
  3. Step 3: Cross multiply
    10,272x = 21,029 × 21,029
  4. Step 4: Simplify right side
    10,272x = 442,218,841
  5. Step 5: Solve for x
    x = 442,218,841/10,272
  6. Step 6: Final answer
    x = 43,050.90

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Why These Related Problems?

These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.