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Finding the Third Proportional to 191,796 and 280,722

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Solution

The third proportional to 191,796 and 280,722 is: 410,878.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    191,796 : 280,722 = 280,722 : x
  2. Step 2: Convert to fraction form
    191,796/280,722 = 280,722/x
  3. Step 3: Cross multiply
    191,796x = 280,722 × 280,722
  4. Step 4: Simplify right side
    191,796x = 78,804,841,284
  5. Step 5: Solve for x
    x = 78,804,841,284/191,796
  6. Step 6: Final answer
    x = 410,878.44

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.