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Finding the Third Proportional to 276,370 and 426,771

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Solution

The third proportional to 276,370 and 426,771 is: 659,020.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    276,370 : 426,771 = 426,771 : x
  2. Step 2: Convert to fraction form
    276,370/426,771 = 426,771/x
  3. Step 3: Cross multiply
    276,370x = 426,771 × 426,771
  4. Step 4: Simplify right side
    276,370x = 182,133,486,441
  5. Step 5: Solve for x
    x = 182,133,486,441/276,370
  6. Step 6: Final answer
    x = 659,020.47

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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.