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Finding the Third Proportional to 171,396 and 400,545

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Solution

The third proportional to 171,396 and 400,545 is: 936,056.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    171,396 : 400,545 = 400,545 : x
  2. Step 2: Convert to fraction form
    171,396/400,545 = 400,545/x
  3. Step 3: Cross multiply
    171,396x = 400,545 × 400,545
  4. Step 4: Simplify right side
    171,396x = 160,436,297,025
  5. Step 5: Solve for x
    x = 160,436,297,025/171,396
  6. Step 6: Final answer
    x = 936,056.25

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Why These Related Problems?

These problems maintain the same ratio (2.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.