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Finding the Third Proportional to 7,681.50 and 12,057.19

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Solution

The third proportional to 7,681.50 and 12,057.19 is: 18,925.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,681.50 : 12,057.19 = 12,057.19 : x
  2. Step 2: Convert to fraction form
    7,681.50/12,057.19 = 12,057.19/x
  3. Step 3: Cross multiply
    7,681.50x = 12,057.19 × 12,057.19
  4. Step 4: Simplify right side
    7,681.50x = 145,375,770.41
  5. Step 5: Solve for x
    x = 145,375,770.41/7,681.50
  6. Step 6: Final answer
    x = 18,925.44

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.