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Finding the Third Proportional to 212,825.81 and 445,363.31

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Solution

The third proportional to 212,825.81 and 445,363.31 is: 931,975.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    212,825.81 : 445,363.31 = 445,363.31 : x
  2. Step 2: Convert to fraction form
    212,825.81/445,363.31 = 445,363.31/x
  3. Step 3: Cross multiply
    212,825.81x = 445,363.31 × 445,363.31
  4. Step 4: Simplify right side
    212,825.81x = 198,348,480,120.97
  5. Step 5: Solve for x
    x = 198,348,480,120.97/212,825.81
  6. Step 6: Final answer
    x = 931,975.67

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Why These Related Problems?

These problems maintain the same ratio (2.09) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.