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Finding the Third Proportional to 427,457.25 and 667,065.38

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Solution

The third proportional to 427,457.25 and 667,065.38 is: 1,040,984.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    427,457.25 : 667,065.38 = 667,065.38 : x
  2. Step 2: Convert to fraction form
    427,457.25/667,065.38 = 667,065.38/x
  3. Step 3: Cross multiply
    427,457.25x = 667,065.38 × 667,065.38
  4. Step 4: Simplify right side
    427,457.25x = 444,976,214,523.89
  5. Step 5: Solve for x
    x = 444,976,214,523.89/427,457.25
  6. Step 6: Final answer
    x = 1,040,984.13

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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.