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Finding the Third Proportional to 128,770 and 204,899

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Solution

The third proportional to 128,770 and 204,899 is: 326,035.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    128,770 : 204,899 = 204,899 : x
  2. Step 2: Convert to fraction form
    128,770/204,899 = 204,899/x
  3. Step 3: Cross multiply
    128,770x = 204,899 × 204,899
  4. Step 4: Simplify right side
    128,770x = 41,983,600,201
  5. Step 5: Solve for x
    x = 41,983,600,201/128,770
  6. Step 6: Final answer
    x = 326,035.57

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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.