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Finding the Third Proportional to 176,673 and 386,990

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Solution

The third proportional to 176,673 and 386,990 is: 847,674.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    176,673 : 386,990 = 386,990 : x
  2. Step 2: Convert to fraction form
    176,673/386,990 = 386,990/x
  3. Step 3: Cross multiply
    176,673x = 386,990 × 386,990
  4. Step 4: Simplify right side
    176,673x = 149,761,260,100
  5. Step 5: Solve for x
    x = 149,761,260,100/176,673
  6. Step 6: Final answer
    x = 847,674.86

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.