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Finding the Third Proportional to 215,853 and 463,423

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Solution

The third proportional to 215,853 and 463,423 is: 994,940.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    215,853 : 463,423 = 463,423 : x
  2. Step 2: Convert to fraction form
    215,853/463,423 = 463,423/x
  3. Step 3: Cross multiply
    215,853x = 463,423 × 463,423
  4. Step 4: Simplify right side
    215,853x = 214,760,876,929
  5. Step 5: Solve for x
    x = 214,760,876,929/215,853
  6. Step 6: Final answer
    x = 994,940.43

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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.