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Finding the Third Proportional to 174,243 and 377,990

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Solution

The third proportional to 174,243 and 377,990 is: 819,983.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    174,243 : 377,990 = 377,990 : x
  2. Step 2: Convert to fraction form
    174,243/377,990 = 377,990/x
  3. Step 3: Cross multiply
    174,243x = 377,990 × 377,990
  4. Step 4: Simplify right side
    174,243x = 142,876,440,100
  5. Step 5: Solve for x
    x = 142,876,440,100/174,243
  6. Step 6: Final answer
    x = 819,983.82

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.