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Finding the Third Proportional to 9,128.25 and 18,735.75

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Solution

The third proportional to 9,128.25 and 18,735.75 is: 38,455.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,128.25 : 18,735.75 = 18,735.75 : x
  2. Step 2: Convert to fraction form
    9,128.25/18,735.75 = 18,735.75/x
  3. Step 3: Cross multiply
    9,128.25x = 18,735.75 × 18,735.75
  4. Step 4: Simplify right side
    9,128.25x = 351,028,328.06
  5. Step 5: Solve for x
    x = 351,028,328.06/9,128.25
  6. Step 6: Final answer
    x = 38,455.16

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Why These Related Problems?

These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.