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Finding the Third Proportional to 180,515 and 280,644

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Solution

The third proportional to 180,515 and 280,644 is: 436,313.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    180,515 : 280,644 = 280,644 : x
  2. Step 2: Convert to fraction form
    180,515/280,644 = 280,644/x
  3. Step 3: Cross multiply
    180,515x = 280,644 × 280,644
  4. Step 4: Simplify right side
    180,515x = 78,761,054,736
  5. Step 5: Solve for x
    x = 78,761,054,736/180,515
  6. Step 6: Final answer
    x = 436,313.08

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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.