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Finding the Third Proportional to 55,121 and 118,972

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Solution

The third proportional to 55,121 and 118,972 is: 256,786.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    55,121 : 118,972 = 118,972 : x
  2. Step 2: Convert to fraction form
    55,121/118,972 = 118,972/x
  3. Step 3: Cross multiply
    55,121x = 118,972 × 118,972
  4. Step 4: Simplify right side
    55,121x = 14,154,336,784
  5. Step 5: Solve for x
    x = 14,154,336,784/55,121
  6. Step 6: Final answer
    x = 256,786.65

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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.