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Finding the Third Proportional to 78,392.25 and 117,765

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Solution

The third proportional to 78,392.25 and 117,765 is: 176,912.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,392.25 : 117,765 = 117,765 : x
  2. Step 2: Convert to fraction form
    78,392.25/117,765 = 117,765/x
  3. Step 3: Cross multiply
    78,392.25x = 117,765 × 117,765
  4. Step 4: Simplify right side
    78,392.25x = 13,868,595,225
  5. Step 5: Solve for x
    x = 13,868,595,225/78,392.25
  6. Step 6: Final answer
    x = 176,912.84

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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.