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Finding the Third Proportional to 309,357 and 670,878

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Solution

The third proportional to 309,357 and 670,878 is: 1,454,879.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    309,357 : 670,878 = 670,878 : x
  2. Step 2: Convert to fraction form
    309,357/670,878 = 670,878/x
  3. Step 3: Cross multiply
    309,357x = 670,878 × 670,878
  4. Step 4: Simplify right side
    309,357x = 450,077,290,884
  5. Step 5: Solve for x
    x = 450,077,290,884/309,357
  6. Step 6: Final answer
    x = 1,454,879.93

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.