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Finding the Third Proportional to 39,678 and 86,970

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Solution

The third proportional to 39,678 and 86,970 is: 190,629.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    39,678 : 86,970 = 86,970 : x
  2. Step 2: Convert to fraction form
    39,678/86,970 = 86,970/x
  3. Step 3: Cross multiply
    39,678x = 86,970 × 86,970
  4. Step 4: Simplify right side
    39,678x = 7,563,780,900
  5. Step 5: Solve for x
    x = 7,563,780,900/39,678
  6. Step 6: Final answer
    x = 190,629.09

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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.