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Finding the Third Proportional to 290,439 and 629,130.38

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Solution

The third proportional to 290,439 and 629,130.38 is: 1,362,781.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    290,439 : 629,130.38 = 629,130.38 : x
  2. Step 2: Convert to fraction form
    290,439/629,130.38 = 629,130.38/x
  3. Step 3: Cross multiply
    290,439x = 629,130.38 × 629,130.38
  4. Step 4: Simplify right side
    290,439x = 395,805,028,747.64
  5. Step 5: Solve for x
    x = 395,805,028,747.64/290,439
  6. Step 6: Final answer
    x = 1,362,781.96

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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.