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Finding the Third Proportional to 120,222 and 261,342

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Solution

The third proportional to 120,222 and 261,342 is: 568,112.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    120,222 : 261,342 = 261,342 : x
  2. Step 2: Convert to fraction form
    120,222/261,342 = 261,342/x
  3. Step 3: Cross multiply
    120,222x = 261,342 × 261,342
  4. Step 4: Simplify right side
    120,222x = 68,299,640,964
  5. Step 5: Solve for x
    x = 68,299,640,964/120,222
  6. Step 6: Final answer
    x = 568,112.67

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.