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Finding the Third Proportional to 128,768 and 204,896

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Solution

The third proportional to 128,768 and 204,896 is: 326,031.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    128,768 : 204,896 = 204,896 : x
  2. Step 2: Convert to fraction form
    128,768/204,896 = 204,896/x
  3. Step 3: Cross multiply
    128,768x = 204,896 × 204,896
  4. Step 4: Simplify right side
    128,768x = 41,982,370,816
  5. Step 5: Solve for x
    x = 41,982,370,816/128,768
  6. Step 6: Final answer
    x = 326,031.09

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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.