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Finding the Third Proportional to 101,245 and 221,557

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Solution

The third proportional to 101,245 and 221,557 is: 484,838.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    101,245 : 221,557 = 221,557 : x
  2. Step 2: Convert to fraction form
    101,245/221,557 = 221,557/x
  3. Step 3: Cross multiply
    101,245x = 221,557 × 221,557
  4. Step 4: Simplify right side
    101,245x = 49,087,504,249
  5. Step 5: Solve for x
    x = 49,087,504,249/101,245
  6. Step 6: Final answer
    x = 484,838.80

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.