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Finding the Third Proportional to 128,850.75 and 199,108.13

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Solution

The third proportional to 128,850.75 and 199,108.13 is: 307,674.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    128,850.75 : 199,108.13 = 199,108.13 : x
  2. Step 2: Convert to fraction form
    128,850.75/199,108.13 = 199,108.13/x
  3. Step 3: Cross multiply
    128,850.75x = 199,108.13 × 199,108.13
  4. Step 4: Simplify right side
    128,850.75x = 39,644,045,441.02
  5. Step 5: Solve for x
    x = 39,644,045,441.02/128,850.75
  6. Step 6: Final answer
    x = 307,674.15

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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.