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Finding the Third Proportional to 311,742 and 670,103

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Solution

The third proportional to 311,742 and 670,103 is: 1,440,415.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    311,742 : 670,103 = 670,103 : x
  2. Step 2: Convert to fraction form
    311,742/670,103 = 670,103/x
  3. Step 3: Cross multiply
    311,742x = 670,103 × 670,103
  4. Step 4: Simplify right side
    311,742x = 449,038,030,609
  5. Step 5: Solve for x
    x = 449,038,030,609/311,742
  6. Step 6: Final answer
    x = 1,440,415.57

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.