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Finding the Third Proportional to 219,636 and 328,470

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Solution

The third proportional to 219,636 and 328,470 is: 491,233.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    219,636 : 328,470 = 328,470 : x
  2. Step 2: Convert to fraction form
    219,636/328,470 = 328,470/x
  3. Step 3: Cross multiply
    219,636x = 328,470 × 328,470
  4. Step 4: Simplify right side
    219,636x = 107,892,540,900
  5. Step 5: Solve for x
    x = 107,892,540,900/219,636
  6. Step 6: Final answer
    x = 491,233.41

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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.