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Finding the Third Proportional to 3,209.63 and 6,898.31

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Solution

The third proportional to 3,209.63 and 6,898.31 is: 14,826.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,209.63 : 6,898.31 = 6,898.31 : x
  2. Step 2: Convert to fraction form
    3,209.63/6,898.31 = 6,898.31/x
  3. Step 3: Cross multiply
    3,209.63x = 6,898.31 × 6,898.31
  4. Step 4: Simplify right side
    3,209.63x = 47,586,715.35
  5. Step 5: Solve for x
    x = 47,586,715.35/3,209.63
  6. Step 6: Final answer
    x = 14,826.25

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.