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Finding the Third Proportional to 338,431 and 505,945

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Solution

The third proportional to 338,431 and 505,945 is: 756,373.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    338,431 : 505,945 = 505,945 : x
  2. Step 2: Convert to fraction form
    338,431/505,945 = 505,945/x
  3. Step 3: Cross multiply
    338,431x = 505,945 × 505,945
  4. Step 4: Simplify right side
    338,431x = 255,980,343,025
  5. Step 5: Solve for x
    x = 255,980,343,025/338,431
  6. Step 6: Final answer
    x = 756,373.80

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.