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Finding the Third Proportional to 61,640 and 126,200

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Solution

The third proportional to 61,640 and 126,200 is: 258,378.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    61,640 : 126,200 = 126,200 : x
  2. Step 2: Convert to fraction form
    61,640/126,200 = 126,200/x
  3. Step 3: Cross multiply
    61,640x = 126,200 × 126,200
  4. Step 4: Simplify right side
    61,640x = 15,926,440,000
  5. Step 5: Solve for x
    x = 15,926,440,000/61,640
  6. Step 6: Final answer
    x = 258,378.33

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Why These Related Problems?

These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.