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Finding the Third Proportional to 219,512 and 328,332

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Solution

The third proportional to 219,512 and 328,332 is: 491,097.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    219,512 : 328,332 = 328,332 : x
  2. Step 2: Convert to fraction form
    219,512/328,332 = 328,332/x
  3. Step 3: Cross multiply
    219,512x = 328,332 × 328,332
  4. Step 4: Simplify right side
    219,512x = 107,801,902,224
  5. Step 5: Solve for x
    x = 107,801,902,224/219,512
  6. Step 6: Final answer
    x = 491,097.99

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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.