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Finding the Third Proportional to 121,169 and 185,986

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Solution

The third proportional to 121,169 and 185,986 is: 285,475.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    121,169 : 185,986 = 185,986 : x
  2. Step 2: Convert to fraction form
    121,169/185,986 = 185,986/x
  3. Step 3: Cross multiply
    121,169x = 185,986 × 185,986
  4. Step 4: Simplify right side
    121,169x = 34,590,792,196
  5. Step 5: Solve for x
    x = 34,590,792,196/121,169
  6. Step 6: Final answer
    x = 285,475.59

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.