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Finding the Third Proportional to 320,597 and 500,305

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Solution

The third proportional to 320,597 and 500,305 is: 780,746.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    320,597 : 500,305 = 500,305 : x
  2. Step 2: Convert to fraction form
    320,597/500,305 = 500,305/x
  3. Step 3: Cross multiply
    320,597x = 500,305 × 500,305
  4. Step 4: Simplify right side
    320,597x = 250,305,093,025
  5. Step 5: Solve for x
    x = 250,305,093,025/320,597
  6. Step 6: Final answer
    x = 780,746.83

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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.