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Finding the Third Proportional to 286,346 and 629,332

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Solution

The third proportional to 286,346 and 629,332 is: 1,383,147.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    286,346 : 629,332 = 629,332 : x
  2. Step 2: Convert to fraction form
    286,346/629,332 = 629,332/x
  3. Step 3: Cross multiply
    286,346x = 629,332 × 629,332
  4. Step 4: Simplify right side
    286,346x = 396,058,766,224
  5. Step 5: Solve for x
    x = 396,058,766,224/286,346
  6. Step 6: Final answer
    x = 1,383,147.54

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.