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Finding the Third Proportional to 78,783 and 172,873

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Solution

The third proportional to 78,783 and 172,873 is: 379,334.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,783 : 172,873 = 172,873 : x
  2. Step 2: Convert to fraction form
    78,783/172,873 = 172,873/x
  3. Step 3: Cross multiply
    78,783x = 172,873 × 172,873
  4. Step 4: Simplify right side
    78,783x = 29,885,074,129
  5. Step 5: Solve for x
    x = 29,885,074,129/78,783
  6. Step 6: Final answer
    x = 379,334.05

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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.