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Finding the Third Proportional to 10,362 and 21,831

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Solution

The third proportional to 10,362 and 21,831 is: 45,994.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,362 : 21,831 = 21,831 : x
  2. Step 2: Convert to fraction form
    10,362/21,831 = 21,831/x
  3. Step 3: Cross multiply
    10,362x = 21,831 × 21,831
  4. Step 4: Simplify right side
    10,362x = 476,592,561
  5. Step 5: Solve for x
    x = 476,592,561/10,362
  6. Step 6: Final answer
    x = 45,994.26

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.