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Finding the Third Proportional to 151,406 and 328,569

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Solution

The third proportional to 151,406 and 328,569 is: 713,033.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    151,406 : 328,569 = 328,569 : x
  2. Step 2: Convert to fraction form
    151,406/328,569 = 328,569/x
  3. Step 3: Cross multiply
    151,406x = 328,569 × 328,569
  4. Step 4: Simplify right side
    151,406x = 107,957,587,761
  5. Step 5: Solve for x
    x = 107,957,587,761/151,406
  6. Step 6: Final answer
    x = 713,033.75

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.