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Finding the Third Proportional to 128,780 and 204,914

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Solution

The third proportional to 128,780 and 204,914 is: 326,057.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    128,780 : 204,914 = 204,914 : x
  2. Step 2: Convert to fraction form
    128,780/204,914 = 204,914/x
  3. Step 3: Cross multiply
    128,780x = 204,914 × 204,914
  4. Step 4: Simplify right side
    128,780x = 41,989,747,396
  5. Step 5: Solve for x
    x = 41,989,747,396/128,780
  6. Step 6: Final answer
    x = 326,057.99

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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.