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Finding the Third Proportional to 330,685.13 and 494,740.69

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Solution

The third proportional to 330,685.13 and 494,740.69 is: 740,185.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    330,685.13 : 494,740.69 = 494,740.69 : x
  2. Step 2: Convert to fraction form
    330,685.13/494,740.69 = 494,740.69/x
  3. Step 3: Cross multiply
    330,685.13x = 494,740.69 × 494,740.69
  4. Step 4: Simplify right side
    330,685.13x = 244,768,347,867.97
  5. Step 5: Solve for x
    x = 244,768,347,867.97/330,685.13
  6. Step 6: Final answer
    x = 740,185.54

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.