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Finding the Third Proportional to 181,113 and 393,345

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Solution

The third proportional to 181,113 and 393,345 is: 854,274.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    181,113 : 393,345 = 393,345 : x
  2. Step 2: Convert to fraction form
    181,113/393,345 = 393,345/x
  3. Step 3: Cross multiply
    181,113x = 393,345 × 393,345
  4. Step 4: Simplify right side
    181,113x = 154,720,289,025
  5. Step 5: Solve for x
    x = 154,720,289,025/181,113
  6. Step 6: Final answer
    x = 854,274.89

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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.