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Finding the Third Proportional to 75,186 and 178,121

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Solution

The third proportional to 75,186 and 178,121 is: 421,981.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,186 : 178,121 = 178,121 : x
  2. Step 2: Convert to fraction form
    75,186/178,121 = 178,121/x
  3. Step 3: Cross multiply
    75,186x = 178,121 × 178,121
  4. Step 4: Simplify right side
    75,186x = 31,727,090,641
  5. Step 5: Solve for x
    x = 31,727,090,641/75,186
  6. Step 6: Final answer
    x = 421,981.36

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Why These Related Problems?

These problems maintain the same ratio (2.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.