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Finding the Third Proportional to 192,537 and 463,845

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Solution

The third proportional to 192,537 and 463,845 is: 1,117,458.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    192,537 : 463,845 = 463,845 : x
  2. Step 2: Convert to fraction form
    192,537/463,845 = 463,845/x
  3. Step 3: Cross multiply
    192,537x = 463,845 × 463,845
  4. Step 4: Simplify right side
    192,537x = 215,152,184,025
  5. Step 5: Solve for x
    x = 215,152,184,025/192,537
  6. Step 6: Final answer
    x = 1,117,458.90

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Why These Related Problems?

These problems maintain the same ratio (2.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.