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Finding the Third Proportional to 427,458 and 667,065

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Solution

The third proportional to 427,458 and 667,065 is: 1,040,981.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    427,458 : 667,065 = 667,065 : x
  2. Step 2: Convert to fraction form
    427,458/667,065 = 667,065/x
  3. Step 3: Cross multiply
    427,458x = 667,065 × 667,065
  4. Step 4: Simplify right side
    427,458x = 444,975,714,225
  5. Step 5: Solve for x
    x = 444,975,714,225/427,458
  6. Step 6: Final answer
    x = 1,040,981.14

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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.