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Finding the Third Proportional to 128,852 and 204,990

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Solution

The third proportional to 128,852 and 204,990 is: 326,117.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    128,852 : 204,990 = 204,990 : x
  2. Step 2: Convert to fraction form
    128,852/204,990 = 204,990/x
  3. Step 3: Cross multiply
    128,852x = 204,990 × 204,990
  4. Step 4: Simplify right side
    128,852x = 42,020,900,100
  5. Step 5: Solve for x
    x = 42,020,900,100/128,852
  6. Step 6: Final answer
    x = 326,117.56

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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.