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Finding the Third Proportional to 78,168 and 121,195

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Solution

The third proportional to 78,168 and 121,195 is: 187,905.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,168 : 121,195 = 121,195 : x
  2. Step 2: Convert to fraction form
    78,168/121,195 = 121,195/x
  3. Step 3: Cross multiply
    78,168x = 121,195 × 121,195
  4. Step 4: Simplify right side
    78,168x = 14,688,228,025
  5. Step 5: Solve for x
    x = 14,688,228,025/78,168
  6. Step 6: Final answer
    x = 187,905.90

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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.