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Finding the Third Proportional to 218,905 and 479,328

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Solution

The third proportional to 218,905 and 479,328 is: 1,049,566.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    218,905 : 479,328 = 479,328 : x
  2. Step 2: Convert to fraction form
    218,905/479,328 = 479,328/x
  3. Step 3: Cross multiply
    218,905x = 479,328 × 479,328
  4. Step 4: Simplify right side
    218,905x = 229,755,331,584
  5. Step 5: Solve for x
    x = 229,755,331,584/218,905
  6. Step 6: Final answer
    x = 1,049,566.39

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.