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Finding the Third Proportional to 320,606 and 500,318

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Solution

The third proportional to 320,606 and 500,318 is: 780,765.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    320,606 : 500,318 = 500,318 : x
  2. Step 2: Convert to fraction form
    320,606/500,318 = 500,318/x
  3. Step 3: Cross multiply
    320,606x = 500,318 × 500,318
  4. Step 4: Simplify right side
    320,606x = 250,318,101,124
  5. Step 5: Solve for x
    x = 250,318,101,124/320,606
  6. Step 6: Final answer
    x = 780,765.49

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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.