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Finding the Third Proportional to 102,069 and 221,664

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Solution

The third proportional to 102,069 and 221,664 is: 481,389.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,069 : 221,664 = 221,664 : x
  2. Step 2: Convert to fraction form
    102,069/221,664 = 221,664/x
  3. Step 3: Cross multiply
    102,069x = 221,664 × 221,664
  4. Step 4: Simplify right side
    102,069x = 49,134,928,896
  5. Step 5: Solve for x
    x = 49,134,928,896/102,069
  6. Step 6: Final answer
    x = 481,389.34

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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.