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Finding the Third Proportional to 1,209.94 and 2,898.84

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Solution

The third proportional to 1,209.94 and 2,898.84 is: 6,945.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,209.94 : 2,898.84 = 2,898.84 : x
  2. Step 2: Convert to fraction form
    1,209.94/2,898.84 = 2,898.84/x
  3. Step 3: Cross multiply
    1,209.94x = 2,898.84 × 2,898.84
  4. Step 4: Simplify right side
    1,209.94x = 8,403,295.09
  5. Step 5: Solve for x
    x = 8,403,295.09/1,209.94
  6. Step 6: Final answer
    x = 6,945.23

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Why These Related Problems?

These problems maintain the same ratio (2.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.