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Finding the Third Proportional to 434,640.94 and 664,882.59

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Solution

The third proportional to 434,640.94 and 664,882.59 is: 1,017,089.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    434,640.94 : 664,882.59 = 664,882.59 : x
  2. Step 2: Convert to fraction form
    434,640.94/664,882.59 = 664,882.59/x
  3. Step 3: Cross multiply
    434,640.94x = 664,882.59 × 664,882.59
  4. Step 4: Simplify right side
    434,640.94x = 442,068,863,471.73
  5. Step 5: Solve for x
    x = 442,068,863,471.73/434,640.94
  6. Step 6: Final answer
    x = 1,017,089.80

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.