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Finding the Third Proportional to 36,042 and 78,873

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Solution

The third proportional to 36,042 and 78,873 is: 172,602.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,042 : 78,873 = 78,873 : x
  2. Step 2: Convert to fraction form
    36,042/78,873 = 78,873/x
  3. Step 3: Cross multiply
    36,042x = 78,873 × 78,873
  4. Step 4: Simplify right side
    36,042x = 6,220,950,129
  5. Step 5: Solve for x
    x = 6,220,950,129/36,042
  6. Step 6: Final answer
    x = 172,602.80

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.