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Finding the Third Proportional to 129,099 and 199,405

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Solution

The third proportional to 129,099 and 199,405 is: 307,998.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    129,099 : 199,405 = 199,405 : x
  2. Step 2: Convert to fraction form
    129,099/199,405 = 199,405/x
  3. Step 3: Cross multiply
    129,099x = 199,405 × 199,405
  4. Step 4: Simplify right side
    129,099x = 39,762,354,025
  5. Step 5: Solve for x
    x = 39,762,354,025/129,099
  6. Step 6: Final answer
    x = 307,998.93

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.