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Finding the Third Proportional to 225,005 and 328,622

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Solution

The third proportional to 225,005 and 328,622 is: 479,955.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    225,005 : 328,622 = 328,622 : x
  2. Step 2: Convert to fraction form
    225,005/328,622 = 328,622/x
  3. Step 3: Cross multiply
    225,005x = 328,622 × 328,622
  4. Step 4: Simplify right side
    225,005x = 107,992,418,884
  5. Step 5: Solve for x
    x = 107,992,418,884/225,005
  6. Step 6: Final answer
    x = 479,955.64

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.