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Finding the Third Proportional to 219,855 and 328,488

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Solution

The third proportional to 219,855 and 328,488 is: 490,797.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    219,855 : 328,488 = 328,488 : x
  2. Step 2: Convert to fraction form
    219,855/328,488 = 328,488/x
  3. Step 3: Cross multiply
    219,855x = 328,488 × 328,488
  4. Step 4: Simplify right side
    219,855x = 107,904,366,144
  5. Step 5: Solve for x
    x = 107,904,366,144/219,855
  6. Step 6: Final answer
    x = 490,797.87

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.