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Finding the Third Proportional to 207,928 and 453,172

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Solution

The third proportional to 207,928 and 453,172 is: 987,672.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    207,928 : 453,172 = 453,172 : x
  2. Step 2: Convert to fraction form
    207,928/453,172 = 453,172/x
  3. Step 3: Cross multiply
    207,928x = 453,172 × 453,172
  4. Step 4: Simplify right side
    207,928x = 205,364,861,584
  5. Step 5: Solve for x
    x = 205,364,861,584/207,928
  6. Step 6: Final answer
    x = 987,672.95

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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.