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Finding the Third Proportional to 10,021 and 21,770

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Solution

The third proportional to 10,021 and 21,770 is: 47,293.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,021 : 21,770 = 21,770 : x
  2. Step 2: Convert to fraction form
    10,021/21,770 = 21,770/x
  3. Step 3: Cross multiply
    10,021x = 21,770 × 21,770
  4. Step 4: Simplify right side
    10,021x = 473,932,900
  5. Step 5: Solve for x
    x = 473,932,900/10,021
  6. Step 6: Final answer
    x = 47,293.97

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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.