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Finding the Third Proportional to 86,517 and 187,722

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Solution

The third proportional to 86,517 and 187,722 is: 407,313.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    86,517 : 187,722 = 187,722 : x
  2. Step 2: Convert to fraction form
    86,517/187,722 = 187,722/x
  3. Step 3: Cross multiply
    86,517x = 187,722 × 187,722
  4. Step 4: Simplify right side
    86,517x = 35,239,549,284
  5. Step 5: Solve for x
    x = 35,239,549,284/86,517
  6. Step 6: Final answer
    x = 407,313.58

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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.