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Finding the Third Proportional to 101,804 and 223,548

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Solution

The third proportional to 101,804 and 223,548 is: 490,881.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    101,804 : 223,548 = 223,548 : x
  2. Step 2: Convert to fraction form
    101,804/223,548 = 223,548/x
  3. Step 3: Cross multiply
    101,804x = 223,548 × 223,548
  4. Step 4: Simplify right side
    101,804x = 49,973,708,304
  5. Step 5: Solve for x
    x = 49,973,708,304/101,804
  6. Step 6: Final answer
    x = 490,881.58

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.