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Finding the Third Proportional to 131,149 and 280,997

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Solution

The third proportional to 131,149 and 280,997 is: 602,058.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    131,149 : 280,997 = 280,997 : x
  2. Step 2: Convert to fraction form
    131,149/280,997 = 280,997/x
  3. Step 3: Cross multiply
    131,149x = 280,997 × 280,997
  4. Step 4: Simplify right side
    131,149x = 78,959,314,009
  5. Step 5: Solve for x
    x = 78,959,314,009/131,149
  6. Step 6: Final answer
    x = 602,058.07

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.