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Finding the Third Proportional to 213,723 and 451,476

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Solution

The third proportional to 213,723 and 451,476 is: 953,713.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    213,723 : 451,476 = 451,476 : x
  2. Step 2: Convert to fraction form
    213,723/451,476 = 451,476/x
  3. Step 3: Cross multiply
    213,723x = 451,476 × 451,476
  4. Step 4: Simplify right side
    213,723x = 203,830,578,576
  5. Step 5: Solve for x
    x = 203,830,578,576/213,723
  6. Step 6: Final answer
    x = 953,713.82

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.