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Finding the Third Proportional to 128,433.94 and 277,229.25

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Solution

The third proportional to 128,433.94 and 277,229.25 is: 598,409.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    128,433.94 : 277,229.25 = 277,229.25 : x
  2. Step 2: Convert to fraction form
    128,433.94/277,229.25 = 277,229.25/x
  3. Step 3: Cross multiply
    128,433.94x = 277,229.25 × 277,229.25
  4. Step 4: Simplify right side
    128,433.94x = 76,856,057,055.56
  5. Step 5: Solve for x
    x = 76,856,057,055.56/128,433.94
  6. Step 6: Final answer
    x = 598,409.26

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.