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Finding the Third Proportional to 55,530 and 121,416

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Solution

The third proportional to 55,530 and 121,416 is: 265,475.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    55,530 : 121,416 = 121,416 : x
  2. Step 2: Convert to fraction form
    55,530/121,416 = 121,416/x
  3. Step 3: Cross multiply
    55,530x = 121,416 × 121,416
  4. Step 4: Simplify right side
    55,530x = 14,741,845,056
  5. Step 5: Solve for x
    x = 14,741,845,056/55,530
  6. Step 6: Final answer
    x = 265,475.33

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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.