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Finding the Third Proportional to 229,947 and 343,504

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Solution

The third proportional to 229,947 and 343,504 is: 513,139.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    229,947 : 343,504 = 343,504 : x
  2. Step 2: Convert to fraction form
    229,947/343,504 = 343,504/x
  3. Step 3: Cross multiply
    229,947x = 343,504 × 343,504
  4. Step 4: Simplify right side
    229,947x = 117,994,998,016
  5. Step 5: Solve for x
    x = 117,994,998,016/229,947
  6. Step 6: Final answer
    x = 513,139.98

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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.