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Finding the Third Proportional to 8,680.50 and 13,208.06

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Solution

The third proportional to 8,680.50 and 13,208.06 is: 20,097.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,680.50 : 13,208.06 = 13,208.06 : x
  2. Step 2: Convert to fraction form
    8,680.50/13,208.06 = 13,208.06/x
  3. Step 3: Cross multiply
    8,680.50x = 13,208.06 × 13,208.06
  4. Step 4: Simplify right side
    8,680.50x = 174,452,915.00
  5. Step 5: Solve for x
    x = 174,452,915.00/8,680.50
  6. Step 6: Final answer
    x = 20,097.10

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These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.