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Finding the Third Proportional to 436,327 and 640,125

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Solution

The third proportional to 436,327 and 640,125 is: 939,112.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    436,327 : 640,125 = 640,125 : x
  2. Step 2: Convert to fraction form
    436,327/640,125 = 640,125/x
  3. Step 3: Cross multiply
    436,327x = 640,125 × 640,125
  4. Step 4: Simplify right side
    436,327x = 409,760,015,625
  5. Step 5: Solve for x
    x = 409,760,015,625/436,327
  6. Step 6: Final answer
    x = 939,112.22

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.