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Finding the Third Proportional to 270,424 and 420,918

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Solution

The third proportional to 270,424 and 420,918 is: 655,163.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    270,424 : 420,918 = 420,918 : x
  2. Step 2: Convert to fraction form
    270,424/420,918 = 420,918/x
  3. Step 3: Cross multiply
    270,424x = 420,918 × 420,918
  4. Step 4: Simplify right side
    270,424x = 177,171,962,724
  5. Step 5: Solve for x
    x = 177,171,962,724/270,424
  6. Step 6: Final answer
    x = 655,163.61

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.