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Finding the Third Proportional to 128,519 and 200,979

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Solution

The third proportional to 128,519 and 200,979 is: 314,292.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    128,519 : 200,979 = 200,979 : x
  2. Step 2: Convert to fraction form
    128,519/200,979 = 200,979/x
  3. Step 3: Cross multiply
    128,519x = 200,979 × 200,979
  4. Step 4: Simplify right side
    128,519x = 40,392,558,441
  5. Step 5: Solve for x
    x = 40,392,558,441/128,519
  6. Step 6: Final answer
    x = 314,292.50

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.