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Finding the Third Proportional to 268,942 and 416,418

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Solution

The third proportional to 268,942 and 416,418 is: 644,763.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    268,942 : 416,418 = 416,418 : x
  2. Step 2: Convert to fraction form
    268,942/416,418 = 416,418/x
  3. Step 3: Cross multiply
    268,942x = 416,418 × 416,418
  4. Step 4: Simplify right side
    268,942x = 173,403,950,724
  5. Step 5: Solve for x
    x = 173,403,950,724/268,942
  6. Step 6: Final answer
    x = 644,763.37

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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.