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Finding the Third Proportional to 128,078 and 278,305

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Solution

The third proportional to 128,078 and 278,305 is: 604,738.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    128,078 : 278,305 = 278,305 : x
  2. Step 2: Convert to fraction form
    128,078/278,305 = 278,305/x
  3. Step 3: Cross multiply
    128,078x = 278,305 × 278,305
  4. Step 4: Simplify right side
    128,078x = 77,453,673,025
  5. Step 5: Solve for x
    x = 77,453,673,025/128,078
  6. Step 6: Final answer
    x = 604,738.31

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.