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Finding the Third Proportional to 231,543 and 349,764.75

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Solution

The third proportional to 231,543 and 349,764.75 is: 528,348.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    231,543 : 349,764.75 = 349,764.75 : x
  2. Step 2: Convert to fraction form
    231,543/349,764.75 = 349,764.75/x
  3. Step 3: Cross multiply
    231,543x = 349,764.75 × 349,764.75
  4. Step 4: Simplify right side
    231,543x = 122,335,380,342.56
  5. Step 5: Solve for x
    x = 122,335,380,342.56/231,543
  6. Step 6: Final answer
    x = 528,348.43

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.