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Finding the Third Proportional to 219,617 and 479,511

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Solution

The third proportional to 219,617 and 479,511 is: 1,046,962.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    219,617 : 479,511 = 479,511 : x
  2. Step 2: Convert to fraction form
    219,617/479,511 = 479,511/x
  3. Step 3: Cross multiply
    219,617x = 479,511 × 479,511
  4. Step 4: Simplify right side
    219,617x = 229,930,799,121
  5. Step 5: Solve for x
    x = 229,930,799,121/219,617
  6. Step 6: Final answer
    x = 1,046,962.66

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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.