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Finding the Third Proportional to 310,327 and 664,938

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Solution

The third proportional to 310,327 and 664,938 is: 1,424,763.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    310,327 : 664,938 = 664,938 : x
  2. Step 2: Convert to fraction form
    310,327/664,938 = 664,938/x
  3. Step 3: Cross multiply
    310,327x = 664,938 × 664,938
  4. Step 4: Simplify right side
    310,327x = 442,142,543,844
  5. Step 5: Solve for x
    x = 442,142,543,844/310,327
  6. Step 6: Final answer
    x = 1,424,763.37

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.