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Finding the Third Proportional to 128,024 and 200,838

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Solution

The third proportional to 128,024 and 200,838 is: 315,065.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    128,024 : 200,838 = 200,838 : x
  2. Step 2: Convert to fraction form
    128,024/200,838 = 200,838/x
  3. Step 3: Cross multiply
    128,024x = 200,838 × 200,838
  4. Step 4: Simplify right side
    128,024x = 40,335,902,244
  5. Step 5: Solve for x
    x = 40,335,902,244/128,024
  6. Step 6: Final answer
    x = 315,065.16

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.