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Finding the Third Proportional to 180,564 and 280,899

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Solution

The third proportional to 180,564 and 280,899 is: 436,987.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    180,564 : 280,899 = 280,899 : x
  2. Step 2: Convert to fraction form
    180,564/280,899 = 280,899/x
  3. Step 3: Cross multiply
    180,564x = 280,899 × 280,899
  4. Step 4: Simplify right side
    180,564x = 78,904,248,201
  5. Step 5: Solve for x
    x = 78,904,248,201/180,564
  6. Step 6: Final answer
    x = 436,987.71

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.