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Finding the Third Proportional to 84,684 and 173,724

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Solution

The third proportional to 84,684 and 173,724 is: 356,384.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    84,684 : 173,724 = 173,724 : x
  2. Step 2: Convert to fraction form
    84,684/173,724 = 173,724/x
  3. Step 3: Cross multiply
    84,684x = 173,724 × 173,724
  4. Step 4: Simplify right side
    84,684x = 30,180,028,176
  5. Step 5: Solve for x
    x = 30,180,028,176/84,684
  6. Step 6: Final answer
    x = 356,384.07

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Why These Related Problems?

These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.