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Finding the Third Proportional to 128,558 and 199,031

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Solution

The third proportional to 128,558 and 199,031 is: 308,135.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    128,558 : 199,031 = 199,031 : x
  2. Step 2: Convert to fraction form
    128,558/199,031 = 199,031/x
  3. Step 3: Cross multiply
    128,558x = 199,031 × 199,031
  4. Step 4: Simplify right side
    128,558x = 39,613,338,961
  5. Step 5: Solve for x
    x = 39,613,338,961/128,558
  6. Step 6: Final answer
    x = 308,135.93

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.