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Finding the Third Proportional to 208,648 and 449,689

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Solution

The third proportional to 208,648 and 449,689 is: 969,193.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    208,648 : 449,689 = 449,689 : x
  2. Step 2: Convert to fraction form
    208,648/449,689 = 449,689/x
  3. Step 3: Cross multiply
    208,648x = 449,689 × 449,689
  4. Step 4: Simplify right side
    208,648x = 202,220,196,721
  5. Step 5: Solve for x
    x = 202,220,196,721/208,648
  6. Step 6: Final answer
    x = 969,193.08

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.