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Finding the Third Proportional to 78,811 and 117,937

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Solution

The third proportional to 78,811 and 117,937 is: 176,487.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,811 : 117,937 = 117,937 : x
  2. Step 2: Convert to fraction form
    78,811/117,937 = 117,937/x
  3. Step 3: Cross multiply
    78,811x = 117,937 × 117,937
  4. Step 4: Simplify right side
    78,811x = 13,909,135,969
  5. Step 5: Solve for x
    x = 13,909,135,969/78,811
  6. Step 6: Final answer
    x = 176,487.24

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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.