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Finding the Third Proportional to 22,362 and 49,044

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Solution

The third proportional to 22,362 and 49,044 is: 107,562.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,362 : 49,044 = 49,044 : x
  2. Step 2: Convert to fraction form
    22,362/49,044 = 49,044/x
  3. Step 3: Cross multiply
    22,362x = 49,044 × 49,044
  4. Step 4: Simplify right side
    22,362x = 2,405,313,936
  5. Step 5: Solve for x
    x = 2,405,313,936/22,362
  6. Step 6: Final answer
    x = 107,562.56

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.