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Finding the Third Proportional to 78,318 and 117,135

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Solution

The third proportional to 78,318 and 117,135 is: 175,190.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,318 : 117,135 = 117,135 : x
  2. Step 2: Convert to fraction form
    78,318/117,135 = 117,135/x
  3. Step 3: Cross multiply
    78,318x = 117,135 × 117,135
  4. Step 4: Simplify right side
    78,318x = 13,720,608,225
  5. Step 5: Solve for x
    x = 13,720,608,225/78,318
  6. Step 6: Final answer
    x = 175,190.99

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.