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Finding the Third Proportional to 100,487.25 and 209,243.67

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Solution

The third proportional to 100,487.25 and 209,243.67 is: 435,706.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,487.25 : 209,243.67 = 209,243.67 : x
  2. Step 2: Convert to fraction form
    100,487.25/209,243.67 = 209,243.67/x
  3. Step 3: Cross multiply
    100,487.25x = 209,243.67 × 209,243.67
  4. Step 4: Simplify right side
    100,487.25x = 43,782,914,219.73
  5. Step 5: Solve for x
    x = 43,782,914,219.73/100,487.25
  6. Step 6: Final answer
    x = 435,706.16

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.