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Finding the Third Proportional to 413,256 and 638,308

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Solution

The third proportional to 413,256 and 638,308 is: 985,919.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    413,256 : 638,308 = 638,308 : x
  2. Step 2: Convert to fraction form
    413,256/638,308 = 638,308/x
  3. Step 3: Cross multiply
    413,256x = 638,308 × 638,308
  4. Step 4: Simplify right side
    413,256x = 407,437,102,864
  5. Step 5: Solve for x
    x = 407,437,102,864/413,256
  6. Step 6: Final answer
    x = 985,919.39

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.