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Finding the Third Proportional to 219,217 and 328,856

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Solution

The third proportional to 219,217 and 328,856 is: 493,329.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    219,217 : 328,856 = 328,856 : x
  2. Step 2: Convert to fraction form
    219,217/328,856 = 328,856/x
  3. Step 3: Cross multiply
    219,217x = 328,856 × 328,856
  4. Step 4: Simplify right side
    219,217x = 108,146,268,736
  5. Step 5: Solve for x
    x = 108,146,268,736/219,217
  6. Step 6: Final answer
    x = 493,329.75

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.