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Finding the Third Proportional to 38,640 and 86,028

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Solution

The third proportional to 38,640 and 86,028 is: 191,532.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,640 : 86,028 = 86,028 : x
  2. Step 2: Convert to fraction form
    38,640/86,028 = 86,028/x
  3. Step 3: Cross multiply
    38,640x = 86,028 × 86,028
  4. Step 4: Simplify right side
    38,640x = 7,400,816,784
  5. Step 5: Solve for x
    x = 7,400,816,784/38,640
  6. Step 6: Final answer
    x = 191,532.53

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Why These Related Problems?

These problems maintain the same ratio (2.23) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.