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Finding the Third Proportional to 276,561 and 603,178

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Solution

The third proportional to 276,561 and 603,178 is: 1,315,527.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    276,561 : 603,178 = 603,178 : x
  2. Step 2: Convert to fraction form
    276,561/603,178 = 603,178/x
  3. Step 3: Cross multiply
    276,561x = 603,178 × 603,178
  4. Step 4: Simplify right side
    276,561x = 363,823,699,684
  5. Step 5: Solve for x
    x = 363,823,699,684/276,561
  6. Step 6: Final answer
    x = 1,315,527.86

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.