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

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Solution

The third proportional to 320,606 and 500,320 is: 780,771.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    320,606 : 500,320 = 500,320 : x
  2. Step 2: Convert to fraction form
    320,606/500,320 = 500,320/x
  3. Step 3: Cross multiply
    320,606x = 500,320 × 500,320
  4. Step 4: Simplify right side
    320,606x = 250,320,102,400
  5. Step 5: Solve for x
    x = 250,320,102,400/320,606
  6. Step 6: Final answer
    x = 780,771.73

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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.