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Finding the Third Proportional to 338,979.94 and 459,857.25

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Solution

The third proportional to 338,979.94 and 459,857.25 is: 623,838.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    338,979.94 : 459,857.25 = 459,857.25 : x
  2. Step 2: Convert to fraction form
    338,979.94/459,857.25 = 459,857.25/x
  3. Step 3: Cross multiply
    338,979.94x = 459,857.25 × 459,857.25
  4. Step 4: Simplify right side
    338,979.94x = 211,468,690,377.56
  5. Step 5: Solve for x
    x = 211,468,690,377.56/338,979.94
  6. Step 6: Final answer
    x = 623,838.37

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Why These Related Problems?

These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.