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Finding the Third Proportional to 56,027 and 121,390

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Solution

The third proportional to 56,027 and 121,390 is: 263,007.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    56,027 : 121,390 = 121,390 : x
  2. Step 2: Convert to fraction form
    56,027/121,390 = 121,390/x
  3. Step 3: Cross multiply
    56,027x = 121,390 × 121,390
  4. Step 4: Simplify right side
    56,027x = 14,735,532,100
  5. Step 5: Solve for x
    x = 14,735,532,100/56,027
  6. Step 6: Final answer
    x = 263,007.69

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.