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Finding the Third Proportional to 128,301 and 199,146

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Solution

The third proportional to 128,301 and 199,146 is: 309,110.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    128,301 : 199,146 = 199,146 : x
  2. Step 2: Convert to fraction form
    128,301/199,146 = 199,146/x
  3. Step 3: Cross multiply
    128,301x = 199,146 × 199,146
  4. Step 4: Simplify right side
    128,301x = 39,659,129,316
  5. Step 5: Solve for x
    x = 39,659,129,316/128,301
  6. Step 6: Final answer
    x = 309,110.06

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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.