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Finding the Third Proportional to 78,657.75 and 117,993.38

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Solution

The third proportional to 78,657.75 and 117,993.38 is: 177,000.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,657.75 : 117,993.38 = 117,993.38 : x
  2. Step 2: Convert to fraction form
    78,657.75/117,993.38 = 117,993.38/x
  3. Step 3: Cross multiply
    78,657.75x = 117,993.38 × 117,993.38
  4. Step 4: Simplify right side
    78,657.75x = 13,922,436,543.89
  5. Step 5: Solve for x
    x = 13,922,436,543.89/78,657.75
  6. Step 6: Final answer
    x = 177,000.19

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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.