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Finding the Third Proportional to 128,016 and 199,272

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Solution

The third proportional to 128,016 and 199,272 is: 310,190.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    128,016 : 199,272 = 199,272 : x
  2. Step 2: Convert to fraction form
    128,016/199,272 = 199,272/x
  3. Step 3: Cross multiply
    128,016x = 199,272 × 199,272
  4. Step 4: Simplify right side
    128,016x = 39,709,329,984
  5. Step 5: Solve for x
    x = 39,709,329,984/128,016
  6. Step 6: Final answer
    x = 310,190.37

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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.