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Finding the Third Proportional to 229,800 and 343,309.50

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Solution

The third proportional to 229,800 and 343,309.50 is: 512,886.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    229,800 : 343,309.50 = 343,309.50 : x
  2. Step 2: Convert to fraction form
    229,800/343,309.50 = 343,309.50/x
  3. Step 3: Cross multiply
    229,800x = 343,309.50 × 343,309.50
  4. Step 4: Simplify right side
    229,800x = 117,861,412,790.25
  5. Step 5: Solve for x
    x = 117,861,412,790.25/229,800
  6. Step 6: Final answer
    x = 512,886.91

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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.