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Finding the Third Proportional to 55,400 and 121,168

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Solution

The third proportional to 55,400 and 121,168 is: 265,012.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    55,400 : 121,168 = 121,168 : x
  2. Step 2: Convert to fraction form
    55,400/121,168 = 121,168/x
  3. Step 3: Cross multiply
    55,400x = 121,168 × 121,168
  4. Step 4: Simplify right side
    55,400x = 14,681,684,224
  5. Step 5: Solve for x
    x = 14,681,684,224/55,400
  6. Step 6: Final answer
    x = 265,012.35

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.