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Finding the Third Proportional to 55,390 and 121,856

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Solution

The third proportional to 55,390 and 121,856 is: 268,078.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    55,390 : 121,856 = 121,856 : x
  2. Step 2: Convert to fraction form
    55,390/121,856 = 121,856/x
  3. Step 3: Cross multiply
    55,390x = 121,856 × 121,856
  4. Step 4: Simplify right side
    55,390x = 14,848,884,736
  5. Step 5: Solve for x
    x = 14,848,884,736/55,390
  6. Step 6: Final answer
    x = 268,078.80

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.