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Finding the Third Proportional to 55,118 and 118,822

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Solution

The third proportional to 55,118 and 118,822 is: 256,153.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    55,118 : 118,822 = 118,822 : x
  2. Step 2: Convert to fraction form
    55,118/118,822 = 118,822/x
  3. Step 3: Cross multiply
    55,118x = 118,822 × 118,822
  4. Step 4: Simplify right side
    55,118x = 14,118,667,684
  5. Step 5: Solve for x
    x = 14,118,667,684/55,118
  6. Step 6: Final answer
    x = 256,153.48

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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.