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Finding the Third Proportional to 290,440 and 629,132

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Solution

The third proportional to 290,440 and 629,132 is: 1,362,784.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    290,440 : 629,132 = 629,132 : x
  2. Step 2: Convert to fraction form
    290,440/629,132 = 629,132/x
  3. Step 3: Cross multiply
    290,440x = 629,132 × 629,132
  4. Step 4: Simplify right side
    290,440x = 395,807,073,424
  5. Step 5: Solve for x
    x = 395,807,073,424/290,440
  6. Step 6: Final answer
    x = 1,362,784.30

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.