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Finding the Third Proportional to 171,667 and 372,887

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Solution

The third proportional to 171,667 and 372,887 is: 809,967.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    171,667 : 372,887 = 372,887 : x
  2. Step 2: Convert to fraction form
    171,667/372,887 = 372,887/x
  3. Step 3: Cross multiply
    171,667x = 372,887 × 372,887
  4. Step 4: Simplify right side
    171,667x = 139,044,714,769
  5. Step 5: Solve for x
    x = 139,044,714,769/171,667
  6. Step 6: Final answer
    x = 809,967.64

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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.