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Finding the Third Proportional to 3,681.07 and 7,688.67

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Solution

The third proportional to 3,681.07 and 7,688.67 is: 16,059.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,681.07 : 7,688.67 = 7,688.67 : x
  2. Step 2: Convert to fraction form
    3,681.07/7,688.67 = 7,688.67/x
  3. Step 3: Cross multiply
    3,681.07x = 7,688.67 × 7,688.67
  4. Step 4: Simplify right side
    3,681.07x = 59,115,675.20
  5. Step 5: Solve for x
    x = 59,115,675.20/3,681.07
  6. Step 6: Final answer
    x = 16,059.37

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Why These Related Problems?

These problems maintain the same ratio (2.09) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.