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Finding the Third Proportional to 515,423.25 and 784,069.88

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Solution

The third proportional to 515,423.25 and 784,069.88 is: 1,192,739.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    515,423.25 : 784,069.88 = 784,069.88 : x
  2. Step 2: Convert to fraction form
    515,423.25/784,069.88 = 784,069.88/x
  3. Step 3: Cross multiply
    515,423.25x = 784,069.88 × 784,069.88
  4. Step 4: Simplify right side
    515,423.25x = 614,765,568,882.52
  5. Step 5: Solve for x
    x = 614,765,568,882.52/515,423.25
  6. Step 6: Final answer
    x = 1,192,739.30

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.