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Finding the Third Proportional to 212,853 and 457,995

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Solution

The third proportional to 212,853 and 457,995 is: 985,466.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    212,853 : 457,995 = 457,995 : x
  2. Step 2: Convert to fraction form
    212,853/457,995 = 457,995/x
  3. Step 3: Cross multiply
    212,853x = 457,995 × 457,995
  4. Step 4: Simplify right side
    212,853x = 209,759,420,025
  5. Step 5: Solve for x
    x = 209,759,420,025/212,853
  6. Step 6: Final answer
    x = 985,466.12

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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.