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Finding the Third Proportional to 10,946 and 23,201

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Solution

The third proportional to 10,946 and 23,201 is: 49,176.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,946 : 23,201 = 23,201 : x
  2. Step 2: Convert to fraction form
    10,946/23,201 = 23,201/x
  3. Step 3: Cross multiply
    10,946x = 23,201 × 23,201
  4. Step 4: Simplify right side
    10,946x = 538,286,401
  5. Step 5: Solve for x
    x = 538,286,401/10,946
  6. Step 6: Final answer
    x = 49,176.54

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.