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Finding the Third Proportional to 276,640 and 603,536

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Solution

The third proportional to 276,640 and 603,536 is: 1,316,713.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    276,640 : 603,536 = 603,536 : x
  2. Step 2: Convert to fraction form
    276,640/603,536 = 603,536/x
  3. Step 3: Cross multiply
    276,640x = 603,536 × 603,536
  4. Step 4: Simplify right side
    276,640x = 364,255,703,296
  5. Step 5: Solve for x
    x = 364,255,703,296/276,640
  6. Step 6: Final answer
    x = 1,316,713.79

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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.