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Finding the Third Proportional to 2,890.69 and 6,312.94

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Solution

The third proportional to 2,890.69 and 6,312.94 is: 13,786.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,890.69 : 6,312.94 = 6,312.94 : x
  2. Step 2: Convert to fraction form
    2,890.69/6,312.94 = 6,312.94/x
  3. Step 3: Cross multiply
    2,890.69x = 6,312.94 × 6,312.94
  4. Step 4: Simplify right side
    2,890.69x = 39,853,179.88
  5. Step 5: Solve for x
    x = 39,853,179.88/2,890.69
  6. Step 6: Final answer
    x = 13,786.75

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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.