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Finding the Third Proportional to 131,001 and 280,695

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Solution

The third proportional to 131,001 and 280,695 is: 601,443.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    131,001 : 280,695 = 280,695 : x
  2. Step 2: Convert to fraction form
    131,001/280,695 = 280,695/x
  3. Step 3: Cross multiply
    131,001x = 280,695 × 280,695
  4. Step 4: Simplify right side
    131,001x = 78,789,683,025
  5. Step 5: Solve for x
    x = 78,789,683,025/131,001
  6. Step 6: Final answer
    x = 601,443.37

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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.