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Finding the Third Proportional to 311,470 and 670,324

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Solution

The third proportional to 311,470 and 670,324 is: 1,442,624.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    311,470 : 670,324 = 670,324 : x
  2. Step 2: Convert to fraction form
    311,470/670,324 = 670,324/x
  3. Step 3: Cross multiply
    311,470x = 670,324 × 670,324
  4. Step 4: Simplify right side
    311,470x = 449,334,264,976
  5. Step 5: Solve for x
    x = 449,334,264,976/311,470
  6. Step 6: Final answer
    x = 1,442,624.54

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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.