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Finding the Third Proportional to 223,398 and 330,723

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Solution

The third proportional to 223,398 and 330,723 is: 489,609.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    223,398 : 330,723 = 330,723 : x
  2. Step 2: Convert to fraction form
    223,398/330,723 = 330,723/x
  3. Step 3: Cross multiply
    223,398x = 330,723 × 330,723
  4. Step 4: Simplify right side
    223,398x = 109,377,702,729
  5. Step 5: Solve for x
    x = 109,377,702,729/223,398
  6. Step 6: Final answer
    x = 489,609.14

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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.