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Finding the Third Proportional to 804.94 and 1,209.30

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Solution

The third proportional to 804.94 and 1,209.30 is: 1,816.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    804.94 : 1,209.30 = 1,209.30 : x
  2. Step 2: Convert to fraction form
    804.94/1,209.30 = 1,209.30/x
  3. Step 3: Cross multiply
    804.94x = 1,209.30 × 1,209.30
  4. Step 4: Simplify right side
    804.94x = 1,462,417.83
  5. Step 5: Solve for x
    x = 1,462,417.83/804.94
  6. Step 6: Final answer
    x = 1,816.81

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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.