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Finding the Third Proportional to 223,400 and 330,726

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Solution

The third proportional to 223,400 and 330,726 is: 489,613.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    223,400 : 330,726 = 330,726 : x
  2. Step 2: Convert to fraction form
    223,400/330,726 = 330,726/x
  3. Step 3: Cross multiply
    223,400x = 330,726 × 330,726
  4. Step 4: Simplify right side
    223,400x = 109,379,687,076
  5. Step 5: Solve for x
    x = 109,379,687,076/223,400
  6. Step 6: Final answer
    x = 489,613.64

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Why These Related Problems?

These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.