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Finding the Third Proportional to 638,685 and 1,394,928

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Solution

The third proportional to 638,685 and 1,394,928 is: 3,046,610.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    638,685 : 1,394,928 = 1,394,928 : x
  2. Step 2: Convert to fraction form
    638,685/1,394,928 = 1,394,928/x
  3. Step 3: Cross multiply
    638,685x = 1,394,928 × 1,394,928
  4. Step 4: Simplify right side
    638,685x = 1,945,824,125,184
  5. Step 5: Solve for x
    x = 1,945,824,125,184/638,685
  6. Step 6: Final answer
    x = 3,046,610.03

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.