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Finding the Third Proportional to 121,986 and 184,680

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Solution

The third proportional to 121,986 and 184,680 is: 279,595.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    121,986 : 184,680 = 184,680 : x
  2. Step 2: Convert to fraction form
    121,986/184,680 = 184,680/x
  3. Step 3: Cross multiply
    121,986x = 184,680 × 184,680
  4. Step 4: Simplify right side
    121,986x = 34,106,702,400
  5. Step 5: Solve for x
    x = 34,106,702,400/121,986
  6. Step 6: Final answer
    x = 279,595.22

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.