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Finding the Third Proportional to 320,619 and 500,339

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Solution

The third proportional to 320,619 and 500,339 is: 780,799.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    320,619 : 500,339 = 500,339 : x
  2. Step 2: Convert to fraction form
    320,619/500,339 = 500,339/x
  3. Step 3: Cross multiply
    320,619x = 500,339 × 500,339
  4. Step 4: Simplify right side
    320,619x = 250,339,114,921
  5. Step 5: Solve for x
    x = 250,339,114,921/320,619
  6. Step 6: Final answer
    x = 780,799.38

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.