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Finding the Third Proportional to 320,886 and 498,879

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Solution

The third proportional to 320,886 and 498,879 is: 775,603.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    320,886 : 498,879 = 498,879 : x
  2. Step 2: Convert to fraction form
    320,886/498,879 = 498,879/x
  3. Step 3: Cross multiply
    320,886x = 498,879 × 498,879
  4. Step 4: Simplify right side
    320,886x = 248,880,256,641
  5. Step 5: Solve for x
    x = 248,880,256,641/320,886
  6. Step 6: Final answer
    x = 775,603.35

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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.