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Finding the Third Proportional to 638,338 and 989,766

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Solution

The third proportional to 638,338 and 989,766 is: 1,534,667.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    638,338 : 989,766 = 989,766 : x
  2. Step 2: Convert to fraction form
    638,338/989,766 = 989,766/x
  3. Step 3: Cross multiply
    638,338x = 989,766 × 989,766
  4. Step 4: Simplify right side
    638,338x = 979,636,734,756
  5. Step 5: Solve for x
    x = 979,636,734,756/638,338
  6. Step 6: Final answer
    x = 1,534,667.74

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.