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Finding the Third Proportional to 229,756 and 343,257

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Solution

The third proportional to 229,756 and 343,257 is: 512,828.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    229,756 : 343,257 = 343,257 : x
  2. Step 2: Convert to fraction form
    229,756/343,257 = 343,257/x
  3. Step 3: Cross multiply
    229,756x = 343,257 × 343,257
  4. Step 4: Simplify right side
    229,756x = 117,825,368,049
  5. Step 5: Solve for x
    x = 117,825,368,049/229,756
  6. Step 6: Final answer
    x = 512,828.25

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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.