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Finding the Third Proportional to 131,009 and 280,709

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Solution

The third proportional to 131,009 and 280,709 is: 601,466.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    131,009 : 280,709 = 280,709 : x
  2. Step 2: Convert to fraction form
    131,009/280,709 = 280,709/x
  3. Step 3: Cross multiply
    131,009x = 280,709 × 280,709
  4. Step 4: Simplify right side
    131,009x = 78,797,542,681
  5. Step 5: Solve for x
    x = 78,797,542,681/131,009
  6. Step 6: Final answer
    x = 601,466.64

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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.