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Finding the Third Proportional to 359.39 and 786.09

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Solution

The third proportional to 359.39 and 786.09 is: 1,719.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    359.39 : 786.09 = 786.09 : x
  2. Step 2: Convert to fraction form
    359.39/786.09 = 786.09/x
  3. Step 3: Cross multiply
    359.39x = 786.09 × 786.09
  4. Step 4: Simplify right side
    359.39x = 617,943.38
  5. Step 5: Solve for x
    x = 617,943.38/359.39
  6. Step 6: Final answer
    x = 1,719.42

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.