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Finding the Third Proportional to 276,887 and 603,805

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Solution

The third proportional to 276,887 and 603,805 is: 1,316,712.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    276,887 : 603,805 = 603,805 : x
  2. Step 2: Convert to fraction form
    276,887/603,805 = 603,805/x
  3. Step 3: Cross multiply
    276,887x = 603,805 × 603,805
  4. Step 4: Simplify right side
    276,887x = 364,580,478,025
  5. Step 5: Solve for x
    x = 364,580,478,025/276,887
  6. Step 6: Final answer
    x = 1,316,712.15

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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.