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Finding the Third Proportional to 217,888 and 328,128

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Solution

The third proportional to 217,888 and 328,128 is: 494,143.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    217,888 : 328,128 = 328,128 : x
  2. Step 2: Convert to fraction form
    217,888/328,128 = 328,128/x
  3. Step 3: Cross multiply
    217,888x = 328,128 × 328,128
  4. Step 4: Simplify right side
    217,888x = 107,667,984,384
  5. Step 5: Solve for x
    x = 107,667,984,384/217,888
  6. Step 6: Final answer
    x = 494,143.71

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.