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Finding the Third Proportional to 276,267 and 426,604

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Solution

The third proportional to 276,267 and 426,604 is: 658,750.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    276,267 : 426,604 = 426,604 : x
  2. Step 2: Convert to fraction form
    276,267/426,604 = 426,604/x
  3. Step 3: Cross multiply
    276,267x = 426,604 × 426,604
  4. Step 4: Simplify right side
    276,267x = 181,990,972,816
  5. Step 5: Solve for x
    x = 181,990,972,816/276,267
  6. Step 6: Final answer
    x = 658,750.31

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.