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Finding the Third Proportional to 400,104 and 619,326

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Solution

The third proportional to 400,104 and 619,326 is: 958,662.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    400,104 : 619,326 = 619,326 : x
  2. Step 2: Convert to fraction form
    400,104/619,326 = 619,326/x
  3. Step 3: Cross multiply
    400,104x = 619,326 × 619,326
  4. Step 4: Simplify right side
    400,104x = 383,564,694,276
  5. Step 5: Solve for x
    x = 383,564,694,276/400,104
  6. Step 6: Final answer
    x = 958,662.48

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.