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Finding the Third Proportional to 128,858 and 188,343

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Solution

The third proportional to 128,858 and 188,343 is: 275,288.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    128,858 : 188,343 = 188,343 : x
  2. Step 2: Convert to fraction form
    128,858/188,343 = 188,343/x
  3. Step 3: Cross multiply
    128,858x = 188,343 × 188,343
  4. Step 4: Simplify right side
    128,858x = 35,473,085,649
  5. Step 5: Solve for x
    x = 35,473,085,649/128,858
  6. Step 6: Final answer
    x = 275,288.19

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.