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Finding the Third Proportional to 78,812 and 121,135

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Solution

The third proportional to 78,812 and 121,135 is: 186,185.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,812 : 121,135 = 121,135 : x
  2. Step 2: Convert to fraction form
    78,812/121,135 = 121,135/x
  3. Step 3: Cross multiply
    78,812x = 121,135 × 121,135
  4. Step 4: Simplify right side
    78,812x = 14,673,688,225
  5. Step 5: Solve for x
    x = 14,673,688,225/78,812
  6. Step 6: Final answer
    x = 186,185.96

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.