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Finding the Third Proportional to 427,496 and 667,124

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Solution

The third proportional to 427,496 and 667,124 is: 1,041,072.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    427,496 : 667,124 = 667,124 : x
  2. Step 2: Convert to fraction form
    427,496/667,124 = 667,124/x
  3. Step 3: Cross multiply
    427,496x = 667,124 × 667,124
  4. Step 4: Simplify right side
    427,496x = 445,054,431,376
  5. Step 5: Solve for x
    x = 445,054,431,376/427,496
  6. Step 6: Final answer
    x = 1,041,072.74

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.