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Finding the Third Proportional to 120,775 and 262,327

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Solution

The third proportional to 120,775 and 262,327 is: 569,782.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    120,775 : 262,327 = 262,327 : x
  2. Step 2: Convert to fraction form
    120,775/262,327 = 262,327/x
  3. Step 3: Cross multiply
    120,775x = 262,327 × 262,327
  4. Step 4: Simplify right side
    120,775x = 68,815,454,929
  5. Step 5: Solve for x
    x = 68,815,454,929/120,775
  6. Step 6: Final answer
    x = 569,782.28

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.