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Finding the Third Proportional to 312,714 and 484,843

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Solution

The third proportional to 312,714 and 484,843 is: 751,717.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    312,714 : 484,843 = 484,843 : x
  2. Step 2: Convert to fraction form
    312,714/484,843 = 484,843/x
  3. Step 3: Cross multiply
    312,714x = 484,843 × 484,843
  4. Step 4: Simplify right side
    312,714x = 235,072,734,649
  5. Step 5: Solve for x
    x = 235,072,734,649/312,714
  6. Step 6: Final answer
    x = 751,717.97

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.