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Finding the Third Proportional to 311,919 and 670,429

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Solution

The third proportional to 311,919 and 670,429 is: 1,440,999.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    311,919 : 670,429 = 670,429 : x
  2. Step 2: Convert to fraction form
    311,919/670,429 = 670,429/x
  3. Step 3: Cross multiply
    311,919x = 670,429 × 670,429
  4. Step 4: Simplify right side
    311,919x = 449,475,044,041
  5. Step 5: Solve for x
    x = 449,475,044,041/311,919
  6. Step 6: Final answer
    x = 1,440,999.25

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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.