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Finding the Third Proportional to 128,666 and 283,509

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Solution

The third proportional to 128,666 and 283,509 is: 624,697.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    128,666 : 283,509 = 283,509 : x
  2. Step 2: Convert to fraction form
    128,666/283,509 = 283,509/x
  3. Step 3: Cross multiply
    128,666x = 283,509 × 283,509
  4. Step 4: Simplify right side
    128,666x = 80,377,353,081
  5. Step 5: Solve for x
    x = 80,377,353,081/128,666
  6. Step 6: Final answer
    x = 624,697.69

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.