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Finding the Third Proportional to 13,366.50 and 31,512.75

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Solution

The third proportional to 13,366.50 and 31,512.75 is: 74,294.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,366.50 : 31,512.75 = 31,512.75 : x
  2. Step 2: Convert to fraction form
    13,366.50/31,512.75 = 31,512.75/x
  3. Step 3: Cross multiply
    13,366.50x = 31,512.75 × 31,512.75
  4. Step 4: Simplify right side
    13,366.50x = 993,053,412.56
  5. Step 5: Solve for x
    x = 993,053,412.56/13,366.50
  6. Step 6: Final answer
    x = 74,294.20

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These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.