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Finding the Third Proportional to 55,867 and 121,769

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Solution

The third proportional to 55,867 and 121,769 is: 265,410.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    55,867 : 121,769 = 121,769 : x
  2. Step 2: Convert to fraction form
    55,867/121,769 = 121,769/x
  3. Step 3: Cross multiply
    55,867x = 121,769 × 121,769
  4. Step 4: Simplify right side
    55,867x = 14,827,689,361
  5. Step 5: Solve for x
    x = 14,827,689,361/55,867
  6. Step 6: Final answer
    x = 265,410.52

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.