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Finding the Third Proportional to 35,679 and 77,190

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Solution

The third proportional to 35,679 and 77,190 is: 166,997.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,679 : 77,190 = 77,190 : x
  2. Step 2: Convert to fraction form
    35,679/77,190 = 77,190/x
  3. Step 3: Cross multiply
    35,679x = 77,190 × 77,190
  4. Step 4: Simplify right side
    35,679x = 5,958,296,100
  5. Step 5: Solve for x
    x = 5,958,296,100/35,679
  6. Step 6: Final answer
    x = 166,997.28

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.