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Finding the Third Proportional to 230,218 and 350,128

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Solution

The third proportional to 230,218 and 350,128 is: 532,493.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    230,218 : 350,128 = 350,128 : x
  2. Step 2: Convert to fraction form
    230,218/350,128 = 350,128/x
  3. Step 3: Cross multiply
    230,218x = 350,128 × 350,128
  4. Step 4: Simplify right side
    230,218x = 122,589,616,384
  5. Step 5: Solve for x
    x = 122,589,616,384/230,218
  6. Step 6: Final answer
    x = 532,493.62

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.