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Finding the Third Proportional to 23,773 and 51,308

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Solution

The third proportional to 23,773 and 51,308 is: 110,735.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,773 : 51,308 = 51,308 : x
  2. Step 2: Convert to fraction form
    23,773/51,308 = 51,308/x
  3. Step 3: Cross multiply
    23,773x = 51,308 × 51,308
  4. Step 4: Simplify right side
    23,773x = 2,632,510,864
  5. Step 5: Solve for x
    x = 2,632,510,864/23,773
  6. Step 6: Final answer
    x = 110,735.32

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These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.