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Finding the Third Proportional to 219,621 and 479,397

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Solution

The third proportional to 219,621 and 479,397 is: 1,046,445.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    219,621 : 479,397 = 479,397 : x
  2. Step 2: Convert to fraction form
    219,621/479,397 = 479,397/x
  3. Step 3: Cross multiply
    219,621x = 479,397 × 479,397
  4. Step 4: Simplify right side
    219,621x = 229,821,483,609
  5. Step 5: Solve for x
    x = 229,821,483,609/219,621
  6. Step 6: Final answer
    x = 1,046,445.85

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.