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Finding the Third Proportional to 393,243.75 and 591,811.88

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Solution

The third proportional to 393,243.75 and 591,811.88 is: 890,646.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    393,243.75 : 591,811.88 = 591,811.88 : x
  2. Step 2: Convert to fraction form
    393,243.75/591,811.88 = 591,811.88/x
  3. Step 3: Cross multiply
    393,243.75x = 591,811.88 × 591,811.88
  4. Step 4: Simplify right side
    393,243.75x = 350,241,295,391.02
  5. Step 5: Solve for x
    x = 350,241,295,391.02/393,243.75
  6. Step 6: Final answer
    x = 890,646.82

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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.