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Finding the Third Proportional to 84,270 and 178,929

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Solution

The third proportional to 84,270 and 178,929 is: 379,916.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    84,270 : 178,929 = 178,929 : x
  2. Step 2: Convert to fraction form
    84,270/178,929 = 178,929/x
  3. Step 3: Cross multiply
    84,270x = 178,929 × 178,929
  4. Step 4: Simplify right side
    84,270x = 32,015,587,041
  5. Step 5: Solve for x
    x = 32,015,587,041/84,270
  6. Step 6: Final answer
    x = 379,916.78

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.