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Finding the Third Proportional to 101,994 and 222,133.50

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Solution

The third proportional to 101,994 and 222,133.50 is: 483,786.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    101,994 : 222,133.50 = 222,133.50 : x
  2. Step 2: Convert to fraction form
    101,994/222,133.50 = 222,133.50/x
  3. Step 3: Cross multiply
    101,994x = 222,133.50 × 222,133.50
  4. Step 4: Simplify right side
    101,994x = 49,343,291,822.25
  5. Step 5: Solve for x
    x = 49,343,291,822.25/101,994
  6. Step 6: Final answer
    x = 483,786.22

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.