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Finding the Third Proportional to 809.13 and 1,209.75

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Solution

The third proportional to 809.13 and 1,209.75 is: 1,808.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    809.13 : 1,209.75 = 1,209.75 : x
  2. Step 2: Convert to fraction form
    809.13/1,209.75 = 1,209.75/x
  3. Step 3: Cross multiply
    809.13x = 1,209.75 × 1,209.75
  4. Step 4: Simplify right side
    809.13x = 1,463,495.06
  5. Step 5: Solve for x
    x = 1,463,495.06/809.13
  6. Step 6: Final answer
    x = 1,808.74

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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.