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Finding the Third Proportional to 859.36 and 1,830.09

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Solution

The third proportional to 859.36 and 1,830.09 is: 3,897.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    859.36 : 1,830.09 = 1,830.09 : x
  2. Step 2: Convert to fraction form
    859.36/1,830.09 = 1,830.09/x
  3. Step 3: Cross multiply
    859.36x = 1,830.09 × 1,830.09
  4. Step 4: Simplify right side
    859.36x = 3,349,243.13
  5. Step 5: Solve for x
    x = 3,349,243.13/859.36
  6. Step 6: Final answer
    x = 3,897.37

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.