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Finding the Third Proportional to 120,538.50 and 260,517

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Solution

The third proportional to 120,538.50 and 260,517 is: 563,049.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    120,538.50 : 260,517 = 260,517 : x
  2. Step 2: Convert to fraction form
    120,538.50/260,517 = 260,517/x
  3. Step 3: Cross multiply
    120,538.50x = 260,517 × 260,517
  4. Step 4: Simplify right side
    120,538.50x = 67,869,107,289
  5. Step 5: Solve for x
    x = 67,869,107,289/120,538.50
  6. Step 6: Final answer
    x = 563,049.21

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.