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Finding the Third Proportional to 171,816 and 261,369

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Solution

The third proportional to 171,816 and 261,369 is: 397,598.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    171,816 : 261,369 = 261,369 : x
  2. Step 2: Convert to fraction form
    171,816/261,369 = 261,369/x
  3. Step 3: Cross multiply
    171,816x = 261,369 × 261,369
  4. Step 4: Simplify right side
    171,816x = 68,313,754,161
  5. Step 5: Solve for x
    x = 68,313,754,161/171,816
  6. Step 6: Final answer
    x = 397,598.33

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.