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Finding the Third Proportional to 103,549 and 221,848

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Solution

The third proportional to 103,549 and 221,848 is: 475,297.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    103,549 : 221,848 = 221,848 : x
  2. Step 2: Convert to fraction form
    103,549/221,848 = 221,848/x
  3. Step 3: Cross multiply
    103,549x = 221,848 × 221,848
  4. Step 4: Simplify right side
    103,549x = 49,216,535,104
  5. Step 5: Solve for x
    x = 49,216,535,104/103,549
  6. Step 6: Final answer
    x = 475,297.06

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.