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Finding the Third Proportional to 78,451 and 117,851

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Solution

The third proportional to 78,451 and 117,851 is: 177,038.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,451 : 117,851 = 117,851 : x
  2. Step 2: Convert to fraction form
    78,451/117,851 = 117,851/x
  3. Step 3: Cross multiply
    78,451x = 117,851 × 117,851
  4. Step 4: Simplify right side
    78,451x = 13,888,858,201
  5. Step 5: Solve for x
    x = 13,888,858,201/78,451
  6. Step 6: Final answer
    x = 177,038.64

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