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Finding the Third Proportional to 78,777 and 172,863

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Solution

The third proportional to 78,777 and 172,863 is: 379,319.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,777 : 172,863 = 172,863 : x
  2. Step 2: Convert to fraction form
    78,777/172,863 = 172,863/x
  3. Step 3: Cross multiply
    78,777x = 172,863 × 172,863
  4. Step 4: Simplify right side
    78,777x = 29,881,616,769
  5. Step 5: Solve for x
    x = 29,881,616,769/78,777
  6. Step 6: Final answer
    x = 379,319.05

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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.