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Finding the Third Proportional to 180,588 and 280,009

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Solution

The third proportional to 180,588 and 280,009 is: 434,165.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    180,588 : 280,009 = 280,009 : x
  2. Step 2: Convert to fraction form
    180,588/280,009 = 280,009/x
  3. Step 3: Cross multiply
    180,588x = 280,009 × 280,009
  4. Step 4: Simplify right side
    180,588x = 78,405,040,081
  5. Step 5: Solve for x
    x = 78,405,040,081/180,588
  6. Step 6: Final answer
    x = 434,165.28

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.