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Finding the Third Proportional to 102,028 and 221,530

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Solution

The third proportional to 102,028 and 221,530 is: 481,000.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,028 : 221,530 = 221,530 : x
  2. Step 2: Convert to fraction form
    102,028/221,530 = 221,530/x
  3. Step 3: Cross multiply
    102,028x = 221,530 × 221,530
  4. Step 4: Simplify right side
    102,028x = 49,075,540,900
  5. Step 5: Solve for x
    x = 49,075,540,900/102,028
  6. Step 6: Final answer
    x = 481,000.71

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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.