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Finding the Third Proportional to 212,814.84 and 445,343.06

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Solution

The third proportional to 212,814.84 and 445,343.06 is: 931,938.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    212,814.84 : 445,343.06 = 445,343.06 : x
  2. Step 2: Convert to fraction form
    212,814.84/445,343.06 = 445,343.06/x
  3. Step 3: Cross multiply
    212,814.84x = 445,343.06 × 445,343.06
  4. Step 4: Simplify right side
    212,814.84x = 198,330,443,316.88
  5. Step 5: Solve for x
    x = 198,330,443,316.88/212,814.84
  6. Step 6: Final answer
    x = 931,938.96

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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.