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Finding the Third Proportional to 320,608.13 and 500,321.81

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Solution

The third proportional to 320,608.13 and 500,321.81 is: 780,772.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    320,608.13 : 500,321.81 = 500,321.81 : x
  2. Step 2: Convert to fraction form
    320,608.13/500,321.81 = 500,321.81/x
  3. Step 3: Cross multiply
    320,608.13x = 500,321.81 × 500,321.81
  4. Step 4: Simplify right side
    320,608.13x = 250,321,916,063.29
  5. Step 5: Solve for x
    x = 250,321,916,063.29/320,608.13
  6. Step 6: Final answer
    x = 780,772.22

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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.