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Finding the Third Proportional to 120,051 and 260,451

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Solution

The third proportional to 120,051 and 260,451 is: 565,049.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    120,051 : 260,451 = 260,451 : x
  2. Step 2: Convert to fraction form
    120,051/260,451 = 260,451/x
  3. Step 3: Cross multiply
    120,051x = 260,451 × 260,451
  4. Step 4: Simplify right side
    120,051x = 67,834,723,401
  5. Step 5: Solve for x
    x = 67,834,723,401/120,051
  6. Step 6: Final answer
    x = 565,049.22

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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.