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Finding the Third Proportional to 180,409.50 and 387,471

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Solution

The third proportional to 180,409.50 and 387,471 is: 832,183.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    180,409.50 : 387,471 = 387,471 : x
  2. Step 2: Convert to fraction form
    180,409.50/387,471 = 387,471/x
  3. Step 3: Cross multiply
    180,409.50x = 387,471 × 387,471
  4. Step 4: Simplify right side
    180,409.50x = 150,133,775,841
  5. Step 5: Solve for x
    x = 150,133,775,841/180,409.50
  6. Step 6: Final answer
    x = 832,183.32

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.