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Finding the Third Proportional to 219,516 and 328,338

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Solution

The third proportional to 219,516 and 328,338 is: 491,106.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    219,516 : 328,338 = 328,338 : x
  2. Step 2: Convert to fraction form
    219,516/328,338 = 328,338/x
  3. Step 3: Cross multiply
    219,516x = 328,338 × 328,338
  4. Step 4: Simplify right side
    219,516x = 107,805,842,244
  5. Step 5: Solve for x
    x = 107,805,842,244/219,516
  6. Step 6: Final answer
    x = 491,106.99

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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.