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Finding the Third Proportional to 180,471 and 393,018

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Solution

The third proportional to 180,471 and 393,018 is: 855,889.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    180,471 : 393,018 = 393,018 : x
  2. Step 2: Convert to fraction form
    180,471/393,018 = 393,018/x
  3. Step 3: Cross multiply
    180,471x = 393,018 × 393,018
  4. Step 4: Simplify right side
    180,471x = 154,463,148,324
  5. Step 5: Solve for x
    x = 154,463,148,324/180,471
  6. Step 6: Final answer
    x = 855,889.03

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.