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Finding the Third Proportional to 393,589.13 and 815,182.88

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Solution

The third proportional to 393,589.13 and 815,182.88 is: 1,688,367.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    393,589.13 : 815,182.88 = 815,182.88 : x
  2. Step 2: Convert to fraction form
    393,589.13/815,182.88 = 815,182.88/x
  3. Step 3: Cross multiply
    393,589.13x = 815,182.88 × 815,182.88
  4. Step 4: Simplify right side
    393,589.13x = 664,523,119,693.27
  5. Step 5: Solve for x
    x = 664,523,119,693.27/393,589.13
  6. Step 6: Final answer
    x = 1,688,367.58

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Why These Related Problems?

These problems maintain the same ratio (2.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.