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Finding the Third Proportional to 1,209.56 and 1,809.66

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Solution

The third proportional to 1,209.56 and 1,809.66 is: 2,707.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,209.56 : 1,809.66 = 1,809.66 : x
  2. Step 2: Convert to fraction form
    1,209.56/1,809.66 = 1,809.66/x
  3. Step 3: Cross multiply
    1,209.56x = 1,809.66 × 1,809.66
  4. Step 4: Simplify right side
    1,209.56x = 3,274,855.74
  5. Step 5: Solve for x
    x = 3,274,855.74/1,209.56
  6. Step 6: Final answer
    x = 2,707.47

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.