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Finding the Third Proportional to 306,069 and 459,105

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Solution

The third proportional to 306,069 and 459,105 is: 688,659.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    306,069 : 459,105 = 459,105 : x
  2. Step 2: Convert to fraction form
    306,069/459,105 = 459,105/x
  3. Step 3: Cross multiply
    306,069x = 459,105 × 459,105
  4. Step 4: Simplify right side
    306,069x = 210,777,401,025
  5. Step 5: Solve for x
    x = 210,777,401,025/306,069
  6. Step 6: Final answer
    x = 688,659.75

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.