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Finding the Third Proportional to 21,838 and 45,071

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Solution

The third proportional to 21,838 and 45,071 is: 93,021.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,838 : 45,071 = 45,071 : x
  2. Step 2: Convert to fraction form
    21,838/45,071 = 45,071/x
  3. Step 3: Cross multiply
    21,838x = 45,071 × 45,071
  4. Step 4: Simplify right side
    21,838x = 2,031,395,041
  5. Step 5: Solve for x
    x = 2,031,395,041/21,838
  6. Step 6: Final answer
    x = 93,021.11

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Why These Related Problems?

These problems maintain the same ratio (2.06) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.