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Finding the Third Proportional to 323,772 and 490,173.75

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Solution

The third proportional to 323,772 and 490,173.75 is: 742,097.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    323,772 : 490,173.75 = 490,173.75 : x
  2. Step 2: Convert to fraction form
    323,772/490,173.75 = 490,173.75/x
  3. Step 3: Cross multiply
    323,772x = 490,173.75 × 490,173.75
  4. Step 4: Simplify right side
    323,772x = 240,270,305,189.06
  5. Step 5: Solve for x
    x = 240,270,305,189.06/323,772
  6. Step 6: Final answer
    x = 742,097.23

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.