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Finding the Third Proportional to 437,137 and 674,394

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Solution

The third proportional to 437,137 and 674,394 is: 1,040,422.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    437,137 : 674,394 = 674,394 : x
  2. Step 2: Convert to fraction form
    437,137/674,394 = 674,394/x
  3. Step 3: Cross multiply
    437,137x = 674,394 × 674,394
  4. Step 4: Simplify right side
    437,137x = 454,807,267,236
  5. Step 5: Solve for x
    x = 454,807,267,236/437,137
  6. Step 6: Final answer
    x = 1,040,422.72

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.