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Finding the Third Proportional to 311,858 and 645,110

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Solution

The third proportional to 311,858 and 645,110 is: 1,334,475.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    311,858 : 645,110 = 645,110 : x
  2. Step 2: Convert to fraction form
    311,858/645,110 = 645,110/x
  3. Step 3: Cross multiply
    311,858x = 645,110 × 645,110
  4. Step 4: Simplify right side
    311,858x = 416,166,912,100
  5. Step 5: Solve for x
    x = 416,166,912,100/311,858
  6. Step 6: Final answer
    x = 1,334,475.67

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Why These Related Problems?

These problems maintain the same ratio (2.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.