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Finding the Third Proportional to 78,473 and 117,885

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Solution

The third proportional to 78,473 and 117,885 is: 177,091.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,473 : 117,885 = 117,885 : x
  2. Step 2: Convert to fraction form
    78,473/117,885 = 117,885/x
  3. Step 3: Cross multiply
    78,473x = 117,885 × 117,885
  4. Step 4: Simplify right side
    78,473x = 13,896,873,225
  5. Step 5: Solve for x
    x = 13,896,873,225/78,473
  6. Step 6: Final answer
    x = 177,091.14

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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.