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Finding the Third Proportional to 644,629 and 1,396,394

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Solution

The third proportional to 644,629 and 1,396,394 is: 3,024,865.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    644,629 : 1,396,394 = 1,396,394 : x
  2. Step 2: Convert to fraction form
    644,629/1,396,394 = 1,396,394/x
  3. Step 3: Cross multiply
    644,629x = 1,396,394 × 1,396,394
  4. Step 4: Simplify right side
    644,629x = 1,949,916,203,236
  5. Step 5: Solve for x
    x = 1,949,916,203,236/644,629
  6. Step 6: Final answer
    x = 3,024,865.78

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.