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Finding the Third Proportional to 84,477 and 178,659

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Solution

The third proportional to 84,477 and 178,659 is: 377,842.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    84,477 : 178,659 = 178,659 : x
  2. Step 2: Convert to fraction form
    84,477/178,659 = 178,659/x
  3. Step 3: Cross multiply
    84,477x = 178,659 × 178,659
  4. Step 4: Simplify right side
    84,477x = 31,919,038,281
  5. Step 5: Solve for x
    x = 31,919,038,281/84,477
  6. Step 6: Final answer
    x = 377,842.94

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.