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Finding the Third Proportional to 128,944 and 280,305

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Solution

The third proportional to 128,944 and 280,305 is: 609,341.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    128,944 : 280,305 = 280,305 : x
  2. Step 2: Convert to fraction form
    128,944/280,305 = 280,305/x
  3. Step 3: Cross multiply
    128,944x = 280,305 × 280,305
  4. Step 4: Simplify right side
    128,944x = 78,570,893,025
  5. Step 5: Solve for x
    x = 78,570,893,025/128,944
  6. Step 6: Final answer
    x = 609,341.21

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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.