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Finding the Third Proportional to 223,018 and 328,622

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Solution

The third proportional to 223,018 and 328,622 is: 484,231.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    223,018 : 328,622 = 328,622 : x
  2. Step 2: Convert to fraction form
    223,018/328,622 = 328,622/x
  3. Step 3: Cross multiply
    223,018x = 328,622 × 328,622
  4. Step 4: Simplify right side
    223,018x = 107,992,418,884
  5. Step 5: Solve for x
    x = 107,992,418,884/223,018
  6. Step 6: Final answer
    x = 484,231.85

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.