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Finding the Third Proportional to 207,318 and 451,510

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Solution

The third proportional to 207,318 and 451,510 is: 983,326.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    207,318 : 451,510 = 451,510 : x
  2. Step 2: Convert to fraction form
    207,318/451,510 = 451,510/x
  3. Step 3: Cross multiply
    207,318x = 451,510 × 451,510
  4. Step 4: Simplify right side
    207,318x = 203,861,280,100
  5. Step 5: Solve for x
    x = 203,861,280,100/207,318
  6. Step 6: Final answer
    x = 983,326.48

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.