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Finding the Third Proportional to 78,806.25 and 117,930.94

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Solution

The third proportional to 78,806.25 and 117,930.94 is: 176,479.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,806.25 : 117,930.94 = 117,930.94 : x
  2. Step 2: Convert to fraction form
    78,806.25/117,930.94 = 117,930.94/x
  3. Step 3: Cross multiply
    78,806.25x = 117,930.94 × 117,930.94
  4. Step 4: Simplify right side
    78,806.25x = 13,907,706,019.63
  5. Step 5: Solve for x
    x = 13,907,706,019.63/78,806.25
  6. Step 6: Final answer
    x = 176,479.73

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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.