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Finding the Third Proportional to 178,823 and 386,685

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Solution

The third proportional to 178,823 and 386,685 is: 836,163.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    178,823 : 386,685 = 386,685 : x
  2. Step 2: Convert to fraction form
    178,823/386,685 = 386,685/x
  3. Step 3: Cross multiply
    178,823x = 386,685 × 386,685
  4. Step 4: Simplify right side
    178,823x = 149,525,289,225
  5. Step 5: Solve for x
    x = 149,525,289,225/178,823
  6. Step 6: Final answer
    x = 836,163.63

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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.