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Finding the Third Proportional to 13,768.50 and 30,066

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Solution

The third proportional to 13,768.50 and 30,066 is: 65,654.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,768.50 : 30,066 = 30,066 : x
  2. Step 2: Convert to fraction form
    13,768.50/30,066 = 30,066/x
  3. Step 3: Cross multiply
    13,768.50x = 30,066 × 30,066
  4. Step 4: Simplify right side
    13,768.50x = 903,964,356
  5. Step 5: Solve for x
    x = 903,964,356/13,768.50
  6. Step 6: Final answer
    x = 65,654.53

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These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.