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Finding the Third Proportional to 171,140 and 372,112

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Solution

The third proportional to 171,140 and 372,112 is: 809,088.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    171,140 : 372,112 = 372,112 : x
  2. Step 2: Convert to fraction form
    171,140/372,112 = 372,112/x
  3. Step 3: Cross multiply
    171,140x = 372,112 × 372,112
  4. Step 4: Simplify right side
    171,140x = 138,467,340,544
  5. Step 5: Solve for x
    x = 138,467,340,544/171,140
  6. Step 6: Final answer
    x = 809,088.12

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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.