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Finding the Third Proportional to 120,021 and 261,202

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Solution

The third proportional to 120,021 and 261,202 is: 568,454.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    120,021 : 261,202 = 261,202 : x
  2. Step 2: Convert to fraction form
    120,021/261,202 = 261,202/x
  3. Step 3: Cross multiply
    120,021x = 261,202 × 261,202
  4. Step 4: Simplify right side
    120,021x = 68,226,484,804
  5. Step 5: Solve for x
    x = 68,226,484,804/120,021
  6. Step 6: Final answer
    x = 568,454.56

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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.