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Finding the Third Proportional to 102,028 and 223,747

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Solution

The third proportional to 102,028 and 223,747 is: 490,676.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,028 : 223,747 = 223,747 : x
  2. Step 2: Convert to fraction form
    102,028/223,747 = 223,747/x
  3. Step 3: Cross multiply
    102,028x = 223,747 × 223,747
  4. Step 4: Simplify right side
    102,028x = 50,062,720,009
  5. Step 5: Solve for x
    x = 50,062,720,009/102,028
  6. Step 6: Final answer
    x = 490,676.29

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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.