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Finding the Third Proportional to 231,043 and 343,176

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Solution

The third proportional to 231,043 and 343,176 is: 509,730.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    231,043 : 343,176 = 343,176 : x
  2. Step 2: Convert to fraction form
    231,043/343,176 = 343,176/x
  3. Step 3: Cross multiply
    231,043x = 343,176 × 343,176
  4. Step 4: Simplify right side
    231,043x = 117,769,766,976
  5. Step 5: Solve for x
    x = 117,769,766,976/231,043
  6. Step 6: Final answer
    x = 509,730.95

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.