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Finding the Third Proportional to 306,039 and 459,059

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Solution

The third proportional to 306,039 and 459,059 is: 688,589.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    306,039 : 459,059 = 459,059 : x
  2. Step 2: Convert to fraction form
    306,039/459,059 = 459,059/x
  3. Step 3: Cross multiply
    306,039x = 459,059 × 459,059
  4. Step 4: Simplify right side
    306,039x = 210,735,165,481
  5. Step 5: Solve for x
    x = 210,735,165,481/306,039
  6. Step 6: Final answer
    x = 688,589.25

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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.