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Finding the Third Proportional to 276,144 and 563,880

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Solution

The third proportional to 276,144 and 563,880 is: 1,151,430.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    276,144 : 563,880 = 563,880 : x
  2. Step 2: Convert to fraction form
    276,144/563,880 = 563,880/x
  3. Step 3: Cross multiply
    276,144x = 563,880 × 563,880
  4. Step 4: Simplify right side
    276,144x = 317,960,654,400
  5. Step 5: Solve for x
    x = 317,960,654,400/276,144
  6. Step 6: Final answer
    x = 1,151,430.61

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Why These Related Problems?

These problems maintain the same ratio (2.04) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.