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Finding the Third Proportional to 120,645 and 262,025

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Solution

The third proportional to 120,645 and 262,025 is: 569,083.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    120,645 : 262,025 = 262,025 : x
  2. Step 2: Convert to fraction form
    120,645/262,025 = 262,025/x
  3. Step 3: Cross multiply
    120,645x = 262,025 × 262,025
  4. Step 4: Simplify right side
    120,645x = 68,657,100,625
  5. Step 5: Solve for x
    x = 68,657,100,625/120,645
  6. Step 6: Final answer
    x = 569,083.68

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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.