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Finding the Third Proportional to 309,886 and 478,843

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Solution

The third proportional to 309,886 and 478,843 is: 739,919.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    309,886 : 478,843 = 478,843 : x
  2. Step 2: Convert to fraction form
    309,886/478,843 = 478,843/x
  3. Step 3: Cross multiply
    309,886x = 478,843 × 478,843
  4. Step 4: Simplify right side
    309,886x = 229,290,618,649
  5. Step 5: Solve for x
    x = 229,290,618,649/309,886
  6. Step 6: Final answer
    x = 739,919.26

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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.