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Finding the Third Proportional to 185,139 and 280,305

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Solution

The third proportional to 185,139 and 280,305 is: 424,388.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    185,139 : 280,305 = 280,305 : x
  2. Step 2: Convert to fraction form
    185,139/280,305 = 280,305/x
  3. Step 3: Cross multiply
    185,139x = 280,305 × 280,305
  4. Step 4: Simplify right side
    185,139x = 78,570,893,025
  5. Step 5: Solve for x
    x = 78,570,893,025/185,139
  6. Step 6: Final answer
    x = 424,388.66

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.