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Finding the Third Proportional to 334,309.78 and 696,321.56

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Solution

The third proportional to 334,309.78 and 696,321.56 is: 1,450,342.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    334,309.78 : 696,321.56 = 696,321.56 : x
  2. Step 2: Convert to fraction form
    334,309.78/696,321.56 = 696,321.56/x
  3. Step 3: Cross multiply
    334,309.78x = 696,321.56 × 696,321.56
  4. Step 4: Simplify right side
    334,309.78x = 484,863,718,402.44
  5. Step 5: Solve for x
    x = 484,863,718,402.44/334,309.78
  6. Step 6: Final answer
    x = 1,450,342.60

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.