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Finding the Third Proportional to 53,956 and 118,619

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Solution

The third proportional to 53,956 and 118,619 is: 260,776.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    53,956 : 118,619 = 118,619 : x
  2. Step 2: Convert to fraction form
    53,956/118,619 = 118,619/x
  3. Step 3: Cross multiply
    53,956x = 118,619 × 118,619
  4. Step 4: Simplify right side
    53,956x = 14,070,467,161
  5. Step 5: Solve for x
    x = 14,070,467,161/53,956
  6. Step 6: Final answer
    x = 260,776.69

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.