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Finding the Third Proportional to 57,168 and 121,888

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Solution

The third proportional to 57,168 and 121,888 is: 259,877.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,168 : 121,888 = 121,888 : x
  2. Step 2: Convert to fraction form
    57,168/121,888 = 121,888/x
  3. Step 3: Cross multiply
    57,168x = 121,888 × 121,888
  4. Step 4: Simplify right side
    57,168x = 14,856,684,544
  5. Step 5: Solve for x
    x = 14,856,684,544/57,168
  6. Step 6: Final answer
    x = 259,877.63

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.