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Finding the Third Proportional to 250,576 and 343,608

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Solution

The third proportional to 250,576 and 343,608 is: 471,180.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    250,576 : 343,608 = 343,608 : x
  2. Step 2: Convert to fraction form
    250,576/343,608 = 343,608/x
  3. Step 3: Cross multiply
    250,576x = 343,608 × 343,608
  4. Step 4: Simplify right side
    250,576x = 118,066,457,664
  5. Step 5: Solve for x
    x = 118,066,457,664/250,576
  6. Step 6: Final answer
    x = 471,180.23

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.