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Finding the Third Proportional to 100,740.50 and 211,823

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Solution

The third proportional to 100,740.50 and 211,823 is: 445,391.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,740.50 : 211,823 = 211,823 : x
  2. Step 2: Convert to fraction form
    100,740.50/211,823 = 211,823/x
  3. Step 3: Cross multiply
    100,740.50x = 211,823 × 211,823
  4. Step 4: Simplify right side
    100,740.50x = 44,868,983,329
  5. Step 5: Solve for x
    x = 44,868,983,329/100,740.50
  6. Step 6: Final answer
    x = 445,391.71

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Why These Related Problems?

These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.