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Finding the Third Proportional to 320,597.25 and 500,305.50

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Solution

The third proportional to 320,597.25 and 500,305.50 is: 780,747.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    320,597.25 : 500,305.50 = 500,305.50 : x
  2. Step 2: Convert to fraction form
    320,597.25/500,305.50 = 500,305.50/x
  3. Step 3: Cross multiply
    320,597.25x = 500,305.50 × 500,305.50
  4. Step 4: Simplify right side
    320,597.25x = 250,305,593,330.25
  5. Step 5: Solve for x
    x = 250,305,593,330.25/320,597.25
  6. Step 6: Final answer
    x = 780,747.79

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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.