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Finding the Third Proportional to 3,290.77 and 7,139.67

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Solution

The third proportional to 3,290.77 and 7,139.67 is: 15,490.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,290.77 : 7,139.67 = 7,139.67 : x
  2. Step 2: Convert to fraction form
    3,290.77/7,139.67 = 7,139.67/x
  3. Step 3: Cross multiply
    3,290.77x = 7,139.67 × 7,139.67
  4. Step 4: Simplify right side
    3,290.77x = 50,974,914.48
  5. Step 5: Solve for x
    x = 50,974,914.48/3,290.77
  6. Step 6: Final answer
    x = 15,490.29

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.