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Finding the Third Proportional to 100,890.19 and 221,460.75

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Solution

The third proportional to 100,890.19 and 221,460.75 is: 486,121.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,890.19 : 221,460.75 = 221,460.75 : x
  2. Step 2: Convert to fraction form
    100,890.19/221,460.75 = 221,460.75/x
  3. Step 3: Cross multiply
    100,890.19x = 221,460.75 × 221,460.75
  4. Step 4: Simplify right side
    100,890.19x = 49,044,863,790.56
  5. Step 5: Solve for x
    x = 49,044,863,790.56/100,890.19
  6. Step 6: Final answer
    x = 486,121.25

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.