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Finding the Third Proportional to 212,819.06 and 445,349.81

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Solution

The third proportional to 212,819.06 and 445,349.81 is: 931,948.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    212,819.06 : 445,349.81 = 445,349.81 : x
  2. Step 2: Convert to fraction form
    212,819.06/445,349.81 = 445,349.81/x
  3. Step 3: Cross multiply
    212,819.06x = 445,349.81 × 445,349.81
  4. Step 4: Simplify right side
    212,819.06x = 198,336,455,493.79
  5. Step 5: Solve for x
    x = 198,336,455,493.79/212,819.06
  6. Step 6: Final answer
    x = 931,948.73

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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.