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Finding the Third Proportional to 780.19 and 1,209.09

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Solution

The third proportional to 780.19 and 1,209.09 is: 1,873.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    780.19 : 1,209.09 = 1,209.09 : x
  2. Step 2: Convert to fraction form
    780.19/1,209.09 = 1,209.09/x
  3. Step 3: Cross multiply
    780.19x = 1,209.09 × 1,209.09
  4. Step 4: Simplify right side
    780.19x = 1,461,907.70
  5. Step 5: Solve for x
    x = 1,461,907.70/780.19
  6. Step 6: Final answer
    x = 1,873.79

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.