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Finding the Third Proportional to 78,181 and 121,133

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Solution

The third proportional to 78,181 and 121,133 is: 187,682.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,181 : 121,133 = 121,133 : x
  2. Step 2: Convert to fraction form
    78,181/121,133 = 121,133/x
  3. Step 3: Cross multiply
    78,181x = 121,133 × 121,133
  4. Step 4: Simplify right side
    78,181x = 14,673,203,689
  5. Step 5: Solve for x
    x = 14,673,203,689/78,181
  6. Step 6: Final answer
    x = 187,682.48

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.