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Finding the Third Proportional to 212,112 and 297,312

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Solution

The third proportional to 212,112 and 297,312 is: 416,734.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    212,112 : 297,312 = 297,312 : x
  2. Step 2: Convert to fraction form
    212,112/297,312 = 297,312/x
  3. Step 3: Cross multiply
    212,112x = 297,312 × 297,312
  4. Step 4: Simplify right side
    212,112x = 88,394,425,344
  5. Step 5: Solve for x
    x = 88,394,425,344/212,112
  6. Step 6: Final answer
    x = 416,734.67

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.