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Finding the Third Proportional to 49,104 and 106,056

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Solution

The third proportional to 49,104 and 106,056 is: 229,062.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,104 : 106,056 = 106,056 : x
  2. Step 2: Convert to fraction form
    49,104/106,056 = 106,056/x
  3. Step 3: Cross multiply
    49,104x = 106,056 × 106,056
  4. Step 4: Simplify right side
    49,104x = 11,247,875,136
  5. Step 5: Solve for x
    x = 11,247,875,136/49,104
  6. Step 6: Final answer
    x = 229,062.30

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.