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Finding the Third Proportional to 84,260 and 178,911

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Solution

The third proportional to 84,260 and 178,911 is: 379,885.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    84,260 : 178,911 = 178,911 : x
  2. Step 2: Convert to fraction form
    84,260/178,911 = 178,911/x
  3. Step 3: Cross multiply
    84,260x = 178,911 × 178,911
  4. Step 4: Simplify right side
    84,260x = 32,009,145,921
  5. Step 5: Solve for x
    x = 32,009,145,921/84,260
  6. Step 6: Final answer
    x = 379,885.43

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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.