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Finding the Third Proportional to 128,401 and 260,689

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Solution

The third proportional to 128,401 and 260,689 is: 529,269.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    128,401 : 260,689 = 260,689 : x
  2. Step 2: Convert to fraction form
    128,401/260,689 = 260,689/x
  3. Step 3: Cross multiply
    128,401x = 260,689 × 260,689
  4. Step 4: Simplify right side
    128,401x = 67,958,754,721
  5. Step 5: Solve for x
    x = 67,958,754,721/128,401
  6. Step 6: Final answer
    x = 529,269.67

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Why These Related Problems?

These problems maintain the same ratio (2.03) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.