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Finding the Third Proportional to 334,200.94 and 680,191.17

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Solution

The third proportional to 334,200.94 and 680,191.17 is: 1,384,376.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    334,200.94 : 680,191.17 = 680,191.17 : x
  2. Step 2: Convert to fraction form
    334,200.94/680,191.17 = 680,191.17/x
  3. Step 3: Cross multiply
    334,200.94x = 680,191.17 × 680,191.17
  4. Step 4: Simplify right side
    334,200.94x = 462,660,030,296.69
  5. Step 5: Solve for x
    x = 462,660,030,296.69/334,200.94
  6. Step 6: Final answer
    x = 1,384,376.82

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Why These Related Problems?

These problems maintain the same ratio (2.04) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.