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Finding the Third Proportional to 179,616 and 280,944

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Solution

The third proportional to 179,616 and 280,944 is: 439,434.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    179,616 : 280,944 = 280,944 : x
  2. Step 2: Convert to fraction form
    179,616/280,944 = 280,944/x
  3. Step 3: Cross multiply
    179,616x = 280,944 × 280,944
  4. Step 4: Simplify right side
    179,616x = 78,929,531,136
  5. Step 5: Solve for x
    x = 78,929,531,136/179,616
  6. Step 6: Final answer
    x = 439,434.86

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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.