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Finding the Third Proportional to 311,668 and 673,178

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Solution

The third proportional to 311,668 and 673,178 is: 1,454,010.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    311,668 : 673,178 = 673,178 : x
  2. Step 2: Convert to fraction form
    311,668/673,178 = 673,178/x
  3. Step 3: Cross multiply
    311,668x = 673,178 × 673,178
  4. Step 4: Simplify right side
    311,668x = 453,168,619,684
  5. Step 5: Solve for x
    x = 453,168,619,684/311,668
  6. Step 6: Final answer
    x = 1,454,010.74

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.