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Finding the Third Proportional to 427,474 and 667,090

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Solution

The third proportional to 427,474 and 667,090 is: 1,041,020.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    427,474 : 667,090 = 667,090 : x
  2. Step 2: Convert to fraction form
    427,474/667,090 = 667,090/x
  3. Step 3: Cross multiply
    427,474x = 667,090 × 667,090
  4. Step 4: Simplify right side
    427,474x = 445,009,068,100
  5. Step 5: Solve for x
    x = 445,009,068,100/427,474
  6. Step 6: Final answer
    x = 1,041,020.20

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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.