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Finding the Third Proportional to 51,273 and 106,629

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Solution

The third proportional to 51,273 and 106,629 is: 221,749.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,273 : 106,629 = 106,629 : x
  2. Step 2: Convert to fraction form
    51,273/106,629 = 106,629/x
  3. Step 3: Cross multiply
    51,273x = 106,629 × 106,629
  4. Step 4: Simplify right side
    51,273x = 11,369,743,641
  5. Step 5: Solve for x
    x = 11,369,743,641/51,273
  6. Step 6: Final answer
    x = 221,749.14

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.