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Finding the Third Proportional to 229,826 and 343,357

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Solution

The third proportional to 229,826 and 343,357 is: 512,970.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    229,826 : 343,357 = 343,357 : x
  2. Step 2: Convert to fraction form
    229,826/343,357 = 343,357/x
  3. Step 3: Cross multiply
    229,826x = 343,357 × 343,357
  4. Step 4: Simplify right side
    229,826x = 117,894,029,449
  5. Step 5: Solve for x
    x = 117,894,029,449/229,826
  6. Step 6: Final answer
    x = 512,970.81

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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.