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Finding the Third Proportional to 263,240 and 423,926

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Solution

The third proportional to 263,240 and 423,926 is: 682,697.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    263,240 : 423,926 = 423,926 : x
  2. Step 2: Convert to fraction form
    263,240/423,926 = 423,926/x
  3. Step 3: Cross multiply
    263,240x = 423,926 × 423,926
  4. Step 4: Simplify right side
    263,240x = 179,713,253,476
  5. Step 5: Solve for x
    x = 179,713,253,476/263,240
  6. Step 6: Final answer
    x = 682,697.36

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Why These Related Problems?

These problems maintain the same ratio (1.61) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.