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Finding the Third Proportional to 101,738 and 212,770

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Solution

The third proportional to 101,738 and 212,770 is: 444,977.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    101,738 : 212,770 = 212,770 : x
  2. Step 2: Convert to fraction form
    101,738/212,770 = 212,770/x
  3. Step 3: Cross multiply
    101,738x = 212,770 × 212,770
  4. Step 4: Simplify right side
    101,738x = 45,271,072,900
  5. Step 5: Solve for x
    x = 45,271,072,900/101,738
  6. Step 6: Final answer
    x = 444,977.03

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Why These Related Problems?

These problems maintain the same ratio (2.09) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.