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Finding the Third Proportional to 269,829 and 416,913

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Solution

The third proportional to 269,829 and 416,913 is: 644,172.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    269,829 : 416,913 = 416,913 : x
  2. Step 2: Convert to fraction form
    269,829/416,913 = 416,913/x
  3. Step 3: Cross multiply
    269,829x = 416,913 × 416,913
  4. Step 4: Simplify right side
    269,829x = 173,816,449,569
  5. Step 5: Solve for x
    x = 173,816,449,569/269,829
  6. Step 6: Final answer
    x = 644,172.60

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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.