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Finding the Third Proportional to 212,280 and 447,600

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Solution

The third proportional to 212,280 and 447,600 is: 943,780.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    212,280 : 447,600 = 447,600 : x
  2. Step 2: Convert to fraction form
    212,280/447,600 = 447,600/x
  3. Step 3: Cross multiply
    212,280x = 447,600 × 447,600
  4. Step 4: Simplify right side
    212,280x = 200,345,760,000
  5. Step 5: Solve for x
    x = 200,345,760,000/212,280
  6. Step 6: Final answer
    x = 943,780.67

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.