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Finding the Third Proportional to 306,640 and 422,250

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Solution

The third proportional to 306,640 and 422,250 is: 581,447.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    306,640 : 422,250 = 422,250 : x
  2. Step 2: Convert to fraction form
    306,640/422,250 = 422,250/x
  3. Step 3: Cross multiply
    306,640x = 422,250 × 422,250
  4. Step 4: Simplify right side
    306,640x = 178,295,062,500
  5. Step 5: Solve for x
    x = 178,295,062,500/306,640
  6. Step 6: Final answer
    x = 581,447.50

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.