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Finding the Third Proportional to 13,773 and 30,184.50

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Solution

The third proportional to 13,773 and 30,184.50 is: 66,151.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,773 : 30,184.50 = 30,184.50 : x
  2. Step 2: Convert to fraction form
    13,773/30,184.50 = 30,184.50/x
  3. Step 3: Cross multiply
    13,773x = 30,184.50 × 30,184.50
  4. Step 4: Simplify right side
    13,773x = 911,104,040.25
  5. Step 5: Solve for x
    x = 911,104,040.25/13,773
  6. Step 6: Final answer
    x = 66,151.46

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These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.