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Finding the Third Proportional to 228,087 and 328,551

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Solution

The third proportional to 228,087 and 328,551 is: 473,265.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    228,087 : 328,551 = 328,551 : x
  2. Step 2: Convert to fraction form
    228,087/328,551 = 328,551/x
  3. Step 3: Cross multiply
    228,087x = 328,551 × 328,551
  4. Step 4: Simplify right side
    228,087x = 107,945,759,601
  5. Step 5: Solve for x
    x = 107,945,759,601/228,087
  6. Step 6: Final answer
    x = 473,265.73

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Why These Related Problems?

These problems maintain the same ratio (1.44) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.