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Finding the Third Proportional to 128,906 and 199,190

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Solution

The third proportional to 128,906 and 199,190 is: 307,795.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    128,906 : 199,190 = 199,190 : x
  2. Step 2: Convert to fraction form
    128,906/199,190 = 199,190/x
  3. Step 3: Cross multiply
    128,906x = 199,190 × 199,190
  4. Step 4: Simplify right side
    128,906x = 39,676,656,100
  5. Step 5: Solve for x
    x = 39,676,656,100/128,906
  6. Step 6: Final answer
    x = 307,795.26

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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.