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Finding the Third Proportional to 238,128 and 323,403

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Solution

The third proportional to 238,128 and 323,403 is: 439,215.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    238,128 : 323,403 = 323,403 : x
  2. Step 2: Convert to fraction form
    238,128/323,403 = 323,403/x
  3. Step 3: Cross multiply
    238,128x = 323,403 × 323,403
  4. Step 4: Simplify right side
    238,128x = 104,589,500,409
  5. Step 5: Solve for x
    x = 104,589,500,409/238,128
  6. Step 6: Final answer
    x = 439,215.47

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Why These Related Problems?

These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.