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Finding the Third Proportional to 2,902.13 and 6,324.94

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Solution

The third proportional to 2,902.13 and 6,324.94 is: 13,784.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,902.13 : 6,324.94 = 6,324.94 : x
  2. Step 2: Convert to fraction form
    2,902.13/6,324.94 = 6,324.94/x
  3. Step 3: Cross multiply
    2,902.13x = 6,324.94 × 6,324.94
  4. Step 4: Simplify right side
    2,902.13x = 40,004,834.38
  5. Step 5: Solve for x
    x = 40,004,834.38/2,902.13
  6. Step 6: Final answer
    x = 13,784.67

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.