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Finding the Third Proportional to 147,629 and 320,266

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Solution

The third proportional to 147,629 and 320,266 is: 694,784.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    147,629 : 320,266 = 320,266 : x
  2. Step 2: Convert to fraction form
    147,629/320,266 = 320,266/x
  3. Step 3: Cross multiply
    147,629x = 320,266 × 320,266
  4. Step 4: Simplify right side
    147,629x = 102,570,310,756
  5. Step 5: Solve for x
    x = 102,570,310,756/147,629
  6. Step 6: Final answer
    x = 694,784.30

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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.