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Finding the Third Proportional to 336,638 and 505,820

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Solution

The third proportional to 336,638 and 505,820 is: 760,026.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    336,638 : 505,820 = 505,820 : x
  2. Step 2: Convert to fraction form
    336,638/505,820 = 505,820/x
  3. Step 3: Cross multiply
    336,638x = 505,820 × 505,820
  4. Step 4: Simplify right side
    336,638x = 255,853,872,400
  5. Step 5: Solve for x
    x = 255,853,872,400/336,638
  6. Step 6: Final answer
    x = 760,026.71

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