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Finding the Third Proportional to 128,432 and 204,538

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Solution

The third proportional to 128,432 and 204,538 is: 325,742.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    128,432 : 204,538 = 204,538 : x
  2. Step 2: Convert to fraction form
    128,432/204,538 = 204,538/x
  3. Step 3: Cross multiply
    128,432x = 204,538 × 204,538
  4. Step 4: Simplify right side
    128,432x = 41,835,793,444
  5. Step 5: Solve for x
    x = 41,835,793,444/128,432
  6. Step 6: Final answer
    x = 325,742.75

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.