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Finding the Third Proportional to 340,728.50 and 743,346.75

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Solution

The third proportional to 340,728.50 and 743,346.75 is: 1,621,714.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    340,728.50 : 743,346.75 = 743,346.75 : x
  2. Step 2: Convert to fraction form
    340,728.50/743,346.75 = 743,346.75/x
  3. Step 3: Cross multiply
    340,728.50x = 743,346.75 × 743,346.75
  4. Step 4: Simplify right side
    340,728.50x = 552,564,390,735.56
  5. Step 5: Solve for x
    x = 552,564,390,735.56/340,728.50
  6. Step 6: Final answer
    x = 1,621,714.62

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.