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Finding the Third Proportional to 84,398 and 181,918

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Solution

The third proportional to 84,398 and 181,918 is: 392,120.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    84,398 : 181,918 = 181,918 : x
  2. Step 2: Convert to fraction form
    84,398/181,918 = 181,918/x
  3. Step 3: Cross multiply
    84,398x = 181,918 × 181,918
  4. Step 4: Simplify right side
    84,398x = 33,094,158,724
  5. Step 5: Solve for x
    x = 33,094,158,724/84,398
  6. Step 6: Final answer
    x = 392,120.18

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.