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Finding the Third Proportional to 320,640 and 471,744

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Solution

The third proportional to 320,640 and 471,744 is: 694,056.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    320,640 : 471,744 = 471,744 : x
  2. Step 2: Convert to fraction form
    320,640/471,744 = 471,744/x
  3. Step 3: Cross multiply
    320,640x = 471,744 × 471,744
  4. Step 4: Simplify right side
    320,640x = 222,542,401,536
  5. Step 5: Solve for x
    x = 222,542,401,536/320,640
  6. Step 6: Final answer
    x = 694,056.89

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.