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Finding the Third Proportional to 102,122 and 221,679

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Solution

The third proportional to 102,122 and 221,679 is: 481,204.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,122 : 221,679 = 221,679 : x
  2. Step 2: Convert to fraction form
    102,122/221,679 = 221,679/x
  3. Step 3: Cross multiply
    102,122x = 221,679 × 221,679
  4. Step 4: Simplify right side
    102,122x = 49,141,579,041
  5. Step 5: Solve for x
    x = 49,141,579,041/102,122
  6. Step 6: Final answer
    x = 481,204.63

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.