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Finding the Third Proportional to 103,659 and 223,878

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Solution

The third proportional to 103,659 and 223,878 is: 483,521.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    103,659 : 223,878 = 223,878 : x
  2. Step 2: Convert to fraction form
    103,659/223,878 = 223,878/x
  3. Step 3: Cross multiply
    103,659x = 223,878 × 223,878
  4. Step 4: Simplify right side
    103,659x = 50,121,358,884
  5. Step 5: Solve for x
    x = 50,121,358,884/103,659
  6. Step 6: Final answer
    x = 483,521.54

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.